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Finding the Fourth Proportional to 812.28, 1,217.17 and 547.75

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Solution

The fourth proportional to 812.28, 1,217.17 and 547.75 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.28 : 1,217.17 = 547.75 : x
  2. Step 2: Convert to fraction form
    812.28/1,217.17 = 547.75/x
  3. Step 3: Cross multiply
    812.28x = 1,217.17 × 547.75
  4. Step 4: Simplify right side
    812.28x = 666,704.87
  5. Step 5: Solve for x
    x = 666,704.87/812.28
  6. Step 6: Final answer
    x = 820.78

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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.