Question

I have a ratio and geometry problem that I know the answer but I don't know what are the steps.

Answer 1

Triangle ABC is right-angled at C, with AC = 3 and BC = 4. The large shaded square PQRS is inscribed in △ABC, with P and Q on AB. The small shaded square is inscribed in △SRC, with one side along SR. What is the ratio of the side of the small shaded square to the side of the large shaded square? Express your answer as a common fraction.