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Finding the Fourth Proportional to 512.57, 768.72 and 147.38

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Solution

The fourth proportional to 512.57, 768.72 and 147.38 is: 221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.57 : 768.72 = 147.38 : x
  2. Step 2: Convert to fraction form
    512.57/768.72 = 147.38/x
  3. Step 3: Cross multiply
    512.57x = 768.72 × 147.38
  4. Step 4: Simplify right side
    512.57x = 113,293.95
  5. Step 5: Solve for x
    x = 113,293.95/512.57
  6. Step 6: Final answer
    x = 221.03

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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.