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Finding the Fourth Proportional to 708.92, 1,062.96 and 449.32

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Solution

The fourth proportional to 708.92, 1,062.96 and 449.32 is: 673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.92 : 1,062.96 = 449.32 : x
  2. Step 2: Convert to fraction form
    708.92/1,062.96 = 449.32/x
  3. Step 3: Cross multiply
    708.92x = 1,062.96 × 449.32
  4. Step 4: Simplify right side
    708.92x = 477,609.19
  5. Step 5: Solve for x
    x = 477,609.19/708.92
  6. Step 6: Final answer
    x = 673.71

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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.