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Finding the Fourth Proportional to 529.52, 729.96 and 431.11

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Solution

The fourth proportional to 529.52, 729.96 and 431.11 is: 594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.52 : 729.96 = 431.11 : x
  2. Step 2: Convert to fraction form
    529.52/729.96 = 431.11/x
  3. Step 3: Cross multiply
    529.52x = 729.96 × 431.11
  4. Step 4: Simplify right side
    529.52x = 314,689.41
  5. Step 5: Solve for x
    x = 314,689.41/529.52
  6. Step 6: Final answer
    x = 594.29

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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.