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Finding the Fourth Proportional to 724.42, 1,085.19 and 449.74

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Solution

The fourth proportional to 724.42, 1,085.19 and 449.74 is: 673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 1,085.19 = 449.74 : x
  2. Step 2: Convert to fraction form
    724.42/1,085.19 = 449.74/x
  3. Step 3: Cross multiply
    724.42x = 1,085.19 × 449.74
  4. Step 4: Simplify right side
    724.42x = 488,053.35
  5. Step 5: Solve for x
    x = 488,053.35/724.42
  6. Step 6: Final answer
    x = 673.72

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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.