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Finding the Fourth Proportional to 997.92, 1,494.65 and 824.18

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Solution

The fourth proportional to 997.92, 1,494.65 and 824.18 is: 1,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,494.65 = 824.18 : x
  2. Step 2: Convert to fraction form
    997.92/1,494.65 = 824.18/x
  3. Step 3: Cross multiply
    997.92x = 1,494.65 × 824.18
  4. Step 4: Simplify right side
    997.92x = 1,231,855.22
  5. Step 5: Solve for x
    x = 1,231,855.22/997.92
  6. Step 6: Final answer
    x = 1,234.42

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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.