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Finding the Fourth Proportional to 489.54, 732.63 and 449.58

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Solution

The fourth proportional to 489.54, 732.63 and 449.58 is: 672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.54 : 732.63 = 449.58 : x
  2. Step 2: Convert to fraction form
    489.54/732.63 = 449.58/x
  3. Step 3: Cross multiply
    489.54x = 732.63 × 449.58
  4. Step 4: Simplify right side
    489.54x = 329,375.80
  5. Step 5: Solve for x
    x = 329,375.80/489.54
  6. Step 6: Final answer
    x = 672.83

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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.