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Finding the Fourth Proportional to 531.25, 732.59 and 432.70

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Solution

The fourth proportional to 531.25, 732.59 and 432.70 is: 596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.25 : 732.59 = 432.70 : x
  2. Step 2: Convert to fraction form
    531.25/732.59 = 432.70/x
  3. Step 3: Cross multiply
    531.25x = 732.59 × 432.70
  4. Step 4: Simplify right side
    531.25x = 316,989.53
  5. Step 5: Solve for x
    x = 316,989.53/531.25
  6. Step 6: Final answer
    x = 596.69

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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.