Calculating perspective correct coordinates of a rectangular based on one site

Calculating perspective correct coordinates of a rectangular based on one
site

I need help or the right research direction for a problem I have. I know
the coordinates of a rectangle in a given coordinate system:
And I have one side of the same rectangle but with a different
perspective. So I know X1, X2 and W1:

My question is: Is it possible to determine the other coordinates and
sides just from knowing the one side? If not at least how many sides do I
have to know to determine the other sides?