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Finding the Fourth Proportional to 724.59, 1,084.38 and 446.83

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Solution

The fourth proportional to 724.59, 1,084.38 and 446.83 is: 668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.59 : 1,084.38 = 446.83 : x
  2. Step 2: Convert to fraction form
    724.59/1,084.38 = 446.83/x
  3. Step 3: Cross multiply
    724.59x = 1,084.38 × 446.83
  4. Step 4: Simplify right side
    724.59x = 484,537.74
  5. Step 5: Solve for x
    x = 484,537.74/724.59
  6. Step 6: Final answer
    x = 668.71

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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.