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Finding the Fourth Proportional to 512.85, 769.29 and 204.85

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Solution

The fourth proportional to 512.85, 769.29 and 204.85 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 769.29 = 204.85 : x
  2. Step 2: Convert to fraction form
    512.85/769.29 = 204.85/x
  3. Step 3: Cross multiply
    512.85x = 769.29 × 204.85
  4. Step 4: Simplify right side
    512.85x = 157,589.06
  5. Step 5: Solve for x
    x = 157,589.06/512.85
  6. Step 6: Final answer
    x = 307.28

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Double scale
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Similar ratio
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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.