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Finding the Fourth Proportional to 511.76, 769.02 and 280.82

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Solution

The fourth proportional to 511.76, 769.02 and 280.82 is: 421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.76 : 769.02 = 280.82 : x
  2. Step 2: Convert to fraction form
    511.76/769.02 = 280.82/x
  3. Step 3: Cross multiply
    511.76x = 769.02 × 280.82
  4. Step 4: Simplify right side
    511.76x = 215,956.20
  5. Step 5: Solve for x
    x = 215,956.20/511.76
  6. Step 6: Final answer
    x = 421.99

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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.