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Finding the Fourth Proportional to 488.61, 727.88 and 458.73

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Solution

The fourth proportional to 488.61, 727.88 and 458.73 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.61 : 727.88 = 458.73 : x
  2. Step 2: Convert to fraction form
    488.61/727.88 = 458.73/x
  3. Step 3: Cross multiply
    488.61x = 727.88 × 458.73
  4. Step 4: Simplify right side
    488.61x = 333,898.10
  5. Step 5: Solve for x
    x = 333,898.10/488.61
  6. Step 6: Final answer
    x = 683.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.