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Finding the Fourth Proportional to 658.53, 987.97 and 219.85

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Solution

The fourth proportional to 658.53, 987.97 and 219.85 is: 329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 987.97 = 219.85 : x
  2. Step 2: Convert to fraction form
    658.53/987.97 = 219.85/x
  3. Step 3: Cross multiply
    658.53x = 987.97 × 219.85
  4. Step 4: Simplify right side
    658.53x = 217,202.18
  5. Step 5: Solve for x
    x = 217,202.18/658.53
  6. Step 6: Final answer
    x = 329.83

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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.