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Finding the Fourth Proportional to 729.13, 1,005.43 and 542.32

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Solution

The fourth proportional to 729.13, 1,005.43 and 542.32 is: 747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.13 : 1,005.43 = 542.32 : x
  2. Step 2: Convert to fraction form
    729.13/1,005.43 = 542.32/x
  3. Step 3: Cross multiply
    729.13x = 1,005.43 × 542.32
  4. Step 4: Simplify right side
    729.13x = 545,264.80
  5. Step 5: Solve for x
    x = 545,264.80/729.13
  6. Step 6: Final answer
    x = 747.83

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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.