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Finding the Fourth Proportional to 729.07, 1,006.12 and 449.21

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Solution

The fourth proportional to 729.07, 1,006.12 and 449.21 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.07 : 1,006.12 = 449.21 : x
  2. Step 2: Convert to fraction form
    729.07/1,006.12 = 449.21/x
  3. Step 3: Cross multiply
    729.07x = 1,006.12 × 449.21
  4. Step 4: Simplify right side
    729.07x = 451,962.24
  5. Step 5: Solve for x
    x = 451,962.24/729.07
  6. Step 6: Final answer
    x = 619.92

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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.