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Finding the Fourth Proportional to 525.64, 726.40 and 432.24

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Solution

The fourth proportional to 525.64, 726.40 and 432.24 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.64 : 726.40 = 432.24 : x
  2. Step 2: Convert to fraction form
    525.64/726.40 = 432.24/x
  3. Step 3: Cross multiply
    525.64x = 726.40 × 432.24
  4. Step 4: Simplify right side
    525.64x = 313,979.14
  5. Step 5: Solve for x
    x = 313,979.14/525.64
  6. Step 6: Final answer
    x = 597.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.