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Finding the Fourth Proportional to 658.64, 980.48 and 627.20

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Solution

The fourth proportional to 658.64, 980.48 and 627.20 is: 933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 980.48 = 627.20 : x
  2. Step 2: Convert to fraction form
    658.64/980.48 = 627.20/x
  3. Step 3: Cross multiply
    658.64x = 980.48 × 627.20
  4. Step 4: Simplify right side
    658.64x = 614,957.06
  5. Step 5: Solve for x
    x = 614,957.06/658.64
  6. Step 6: Final answer
    x = 933.68

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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.