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Finding the Fourth Proportional to 997.20, 1,494.42 and 824.94

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Solution

The fourth proportional to 997.20, 1,494.42 and 824.94 is: 1,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.20 : 1,494.42 = 824.94 : x
  2. Step 2: Convert to fraction form
    997.20/1,494.42 = 824.94/x
  3. Step 3: Cross multiply
    997.20x = 1,494.42 × 824.94
  4. Step 4: Simplify right side
    997.20x = 1,232,806.83
  5. Step 5: Solve for x
    x = 1,232,806.83/997.20
  6. Step 6: Final answer
    x = 1,236.27

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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.