I needed to be able to resize a WPF window but keep the aspect ratio. After scouring the internets I found an approach that involves hooking into the window messages and scaling when the window is resized (Thanks to whoever it was that originally came up with it). The solution below is derived from that approach. It determines the aspect ratio from the original window size and maintains it.

Implement the following in the window:

Xaml:

<Window ... SourceInitialized="Window_SourceInitialized" ... >
    ...
Window>

Code behind:

public partial class Main : Window
{
    private void Window_SourceInitialized(object sender, EventArgs ea)
    {
        WindowAspectRatio.Register((Window)sender);
    }
    ...
}

The WindowAspectRatio class:

using System;
using System.Windows;
using System.Windows.Interop;
using System.Runtime.InteropServices;

internal class WindowAspectRatio
{
    private double _ratio;

    private WindowAspectRatio(Window window)
    {
        _ratio = window.Width / window.Height;
        ((HwndSource)HwndSource.FromVisual(window)).AddHook(DragHook);
    }

    public static void Register(Window window)
    {
        new WindowAspectRatio(window);
    }

    internal enum WM
    {
        WINDOWPOSCHANGING = 0x0046,
    }

    [Flags()]
    public enum SWP
    {
        NoMove = 0x2,
    }

    [StructLayout(LayoutKind.Sequential)]
    internal struct WINDOWPOS
    {
        public IntPtr hwnd;
        public IntPtr hwndInsertAfter;
        public int x;
        public int y;
        public int cx;
        public int cy;
        public int flags;
    }

    private IntPtr DragHook(IntPtr hwnd, int msg, IntPtr wParam, IntPtr lParam, ref bool handeled)
    {
        if ((WM)msg == WM.WINDOWPOSCHANGING)
        {
            WINDOWPOS position = (WINDOWPOS)Marshal.PtrToStructure(lParam, typeof(WINDOWPOS));

            if ((position.flags & (int)SWP.NoMove) != 0 || 
                HwndSource.FromHwnd(hwnd).RootVisual == null) return IntPtr.Zero;

            position.cx = (int)(position.cy * _ratio);

            Marshal.StructureToPtr(position, lParam, true);
            handeled = true;
        }

        return IntPtr.Zero;
    }
}