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Finding the Fourth Proportional to 818.92, 1,227.90 and 562.12

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Solution

The fourth proportional to 818.92, 1,227.90 and 562.12 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.92 : 1,227.90 = 562.12 : x
  2. Step 2: Convert to fraction form
    818.92/1,227.90 = 562.12/x
  3. Step 3: Cross multiply
    818.92x = 1,227.90 × 562.12
  4. Step 4: Simplify right side
    818.92x = 690,227.15
  5. Step 5: Solve for x
    x = 690,227.15/818.92
  6. Step 6: Final answer
    x = 842.85

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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.