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Finding the Fourth Proportional to 512.95, 769.13 and 252.38

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Solution

The fourth proportional to 512.95, 769.13 and 252.38 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.95 : 769.13 = 252.38 : x
  2. Step 2: Convert to fraction form
    512.95/769.13 = 252.38/x
  3. Step 3: Cross multiply
    512.95x = 769.13 × 252.38
  4. Step 4: Simplify right side
    512.95x = 194,114.64
  5. Step 5: Solve for x
    x = 194,114.64/512.95
  6. Step 6: Final answer
    x = 378.43

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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.