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Finding the Fourth Proportional to 729.57, 1,006.51 and 449.72

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Solution

The fourth proportional to 729.57, 1,006.51 and 449.72 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.57 : 1,006.51 = 449.72 : x
  2. Step 2: Convert to fraction form
    729.57/1,006.51 = 449.72/x
  3. Step 3: Cross multiply
    729.57x = 1,006.51 × 449.72
  4. Step 4: Simplify right side
    729.57x = 452,647.68
  5. Step 5: Solve for x
    x = 452,647.68/729.57
  6. Step 6: Final answer
    x = 620.43

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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.