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Finding the Fourth Proportional to 512.78, 768.74 and 187.97

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Solution

The fourth proportional to 512.78, 768.74 and 187.97 is: 281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 768.74 = 187.97 : x
  2. Step 2: Convert to fraction form
    512.78/768.74 = 187.97/x
  3. Step 3: Cross multiply
    512.78x = 768.74 × 187.97
  4. Step 4: Simplify right side
    512.78x = 144,495.27
  5. Step 5: Solve for x
    x = 144,495.27/512.78
  6. Step 6: Final answer
    x = 281.79

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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.