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Finding the Fourth Proportional to 531.48, 732.78 and 432.96

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Solution

The fourth proportional to 531.48, 732.78 and 432.96 is: 596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.48 : 732.78 = 432.96 : x
  2. Step 2: Convert to fraction form
    531.48/732.78 = 432.96/x
  3. Step 3: Cross multiply
    531.48x = 732.78 × 432.96
  4. Step 4: Simplify right side
    531.48x = 317,264.43
  5. Step 5: Solve for x
    x = 317,264.43/531.48
  6. Step 6: Final answer
    x = 596.95

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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.