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Finding the Fourth Proportional to 512.78, 768.73 and 252.52

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Solution

The fourth proportional to 512.78, 768.73 and 252.52 is: 378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 768.73 = 252.52 : x
  2. Step 2: Convert to fraction form
    512.78/768.73 = 252.52/x
  3. Step 3: Cross multiply
    512.78x = 768.73 × 252.52
  4. Step 4: Simplify right side
    512.78x = 194,119.70
  5. Step 5: Solve for x
    x = 194,119.70/512.78
  6. Step 6: Final answer
    x = 378.56

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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.