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Finding the Fourth Proportional to 729.53, 1,006.78 and 397.97

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Solution

The fourth proportional to 729.53, 1,006.78 and 397.97 is: 549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.53 : 1,006.78 = 397.97 : x
  2. Step 2: Convert to fraction form
    729.53/1,006.78 = 397.97/x
  3. Step 3: Cross multiply
    729.53x = 1,006.78 × 397.97
  4. Step 4: Simplify right side
    729.53x = 400,663.20
  5. Step 5: Solve for x
    x = 400,663.20/729.53
  6. Step 6: Final answer
    x = 549.21

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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.