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Finding the Fourth Proportional to 729.03, 1,006.09 and 397.47

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Solution

The fourth proportional to 729.03, 1,006.09 and 397.47 is: 548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.03 : 1,006.09 = 397.47 : x
  2. Step 2: Convert to fraction form
    729.03/1,006.09 = 397.47/x
  3. Step 3: Cross multiply
    729.03x = 1,006.09 × 397.47
  4. Step 4: Simplify right side
    729.03x = 399,890.59
  5. Step 5: Solve for x
    x = 399,890.59/729.03
  6. Step 6: Final answer
    x = 548.52

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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.