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Finding the Fourth Proportional to 729.19, 1,006.29 and 397.62

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Solution

The fourth proportional to 729.19, 1,006.29 and 397.62 is: 548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.19 : 1,006.29 = 397.62 : x
  2. Step 2: Convert to fraction form
    729.19/1,006.29 = 397.62/x
  3. Step 3: Cross multiply
    729.19x = 1,006.29 × 397.62
  4. Step 4: Simplify right side
    729.19x = 400,121.03
  5. Step 5: Solve for x
    x = 400,121.03/729.19
  6. Step 6: Final answer
    x = 548.72

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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.