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Finding the Fourth Proportional to 658.14, 980.52 and 627.18

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Solution

The fourth proportional to 658.14, 980.52 and 627.18 is: 934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.14 : 980.52 = 627.18 : x
  2. Step 2: Convert to fraction form
    658.14/980.52 = 627.18/x
  3. Step 3: Cross multiply
    658.14x = 980.52 × 627.18
  4. Step 4: Simplify right side
    658.14x = 614,962.53
  5. Step 5: Solve for x
    x = 614,962.53/658.14
  6. Step 6: Final answer
    x = 934.39

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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.