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Finding the Fourth Proportional to 658.28, 989.34 and 316.52

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Solution

The fourth proportional to 658.28, 989.34 and 316.52 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.28 : 989.34 = 316.52 : x
  2. Step 2: Convert to fraction form
    658.28/989.34 = 316.52/x
  3. Step 3: Cross multiply
    658.28x = 989.34 × 316.52
  4. Step 4: Simplify right side
    658.28x = 313,145.90
  5. Step 5: Solve for x
    x = 313,145.90/658.28
  6. Step 6: Final answer
    x = 475.70

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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.