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Finding the Fourth Proportional to 729.44, 1,006.61 and 397.86

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Solution

The fourth proportional to 729.44, 1,006.61 and 397.86 is: 549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,006.61 = 397.86 : x
  2. Step 2: Convert to fraction form
    729.44/1,006.61 = 397.86/x
  3. Step 3: Cross multiply
    729.44x = 1,006.61 × 397.86
  4. Step 4: Simplify right side
    729.44x = 400,491.99
  5. Step 5: Solve for x
    x = 400,491.99/729.44
  6. Step 6: Final answer
    x = 549.04

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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.