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Finding the Fourth Proportional to 512.97, 769.14 and 252.96

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Solution

The fourth proportional to 512.97, 769.14 and 252.96 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.97 : 769.14 = 252.96 : x
  2. Step 2: Convert to fraction form
    512.97/769.14 = 252.96/x
  3. Step 3: Cross multiply
    512.97x = 769.14 × 252.96
  4. Step 4: Simplify right side
    512.97x = 194,561.65
  5. Step 5: Solve for x
    x = 194,561.65/512.97
  6. Step 6: Final answer
    x = 379.28

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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.