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Finding the Fourth Proportional to 729.10, 1,006.16 and 397.53

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Solution

The fourth proportional to 729.10, 1,006.16 and 397.53 is: 548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.10 : 1,006.16 = 397.53 : x
  2. Step 2: Convert to fraction form
    729.10/1,006.16 = 397.53/x
  3. Step 3: Cross multiply
    729.10x = 1,006.16 × 397.53
  4. Step 4: Simplify right side
    729.10x = 399,971.77
  5. Step 5: Solve for x
    x = 399,971.77/729.10
  6. Step 6: Final answer
    x = 548.59

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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.