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Finding the Fourth Proportional to 512.42, 768.11 and 280.83

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Solution

The fourth proportional to 512.42, 768.11 and 280.83 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 768.11 = 280.83 : x
  2. Step 2: Convert to fraction form
    512.42/768.11 = 280.83/x
  3. Step 3: Cross multiply
    512.42x = 768.11 × 280.83
  4. Step 4: Simplify right side
    512.42x = 215,708.33
  5. Step 5: Solve for x
    x = 215,708.33/512.42
  6. Step 6: Final answer
    x = 420.96

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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.