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Finding the Fourth Proportional to 588.70, 880.39 and 449.92

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Solution

The fourth proportional to 588.70, 880.39 and 449.92 is: 672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.70 : 880.39 = 449.92 : x
  2. Step 2: Convert to fraction form
    588.70/880.39 = 449.92/x
  3. Step 3: Cross multiply
    588.70x = 880.39 × 449.92
  4. Step 4: Simplify right side
    588.70x = 396,105.07
  5. Step 5: Solve for x
    x = 396,105.07/588.70
  6. Step 6: Final answer
    x = 672.85

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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.