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Finding the Fourth Proportional to 721.87, 1,084.17 and 449.87

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Solution

The fourth proportional to 721.87, 1,084.17 and 449.87 is: 675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.87 : 1,084.17 = 449.87 : x
  2. Step 2: Convert to fraction form
    721.87/1,084.17 = 449.87/x
  3. Step 3: Cross multiply
    721.87x = 1,084.17 × 449.87
  4. Step 4: Simplify right side
    721.87x = 487,731.82
  5. Step 5: Solve for x
    x = 487,731.82/721.87
  6. Step 6: Final answer
    x = 675.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.