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Finding the Fourth Proportional to 512.85, 769.20 and 147.68

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Solution

The fourth proportional to 512.85, 769.20 and 147.68 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 769.20 = 147.68 : x
  2. Step 2: Convert to fraction form
    512.85/769.20 = 147.68/x
  3. Step 3: Cross multiply
    512.85x = 769.20 × 147.68
  4. Step 4: Simplify right side
    512.85x = 113,591.61
  5. Step 5: Solve for x
    x = 113,591.61/512.85
  6. Step 6: Final answer
    x = 221.49

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Double scale
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Similar ratio
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1.5x scale

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.