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Finding the Fourth Proportional to 552.70, 824.17 and 547.75

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Solution

The fourth proportional to 552.70, 824.17 and 547.75 is: 816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 824.17 = 547.75 : x
  2. Step 2: Convert to fraction form
    552.70/824.17 = 547.75/x
  3. Step 3: Cross multiply
    552.70x = 824.17 × 547.75
  4. Step 4: Simplify right side
    552.70x = 451,436.38
  5. Step 5: Solve for x
    x = 451,436.38/552.70
  6. Step 6: Final answer
    x = 816.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.