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Finding the Fourth Proportional to 840.48, 1,258.11 and 449.52

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Solution

The fourth proportional to 840.48, 1,258.11 and 449.52 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.48 : 1,258.11 = 449.52 : x
  2. Step 2: Convert to fraction form
    840.48/1,258.11 = 449.52/x
  3. Step 3: Cross multiply
    840.48x = 1,258.11 × 449.52
  4. Step 4: Simplify right side
    840.48x = 565,545.61
  5. Step 5: Solve for x
    x = 565,545.61/840.48
  6. Step 6: Final answer
    x = 672.88

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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.