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Finding the Fourth Proportional to 1,660.50, 2,291.49 and 997.92

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Solution

The fourth proportional to 1,660.50, 2,291.49 and 997.92 is: 1,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.50 : 2,291.49 = 997.92 : x
  2. Step 2: Convert to fraction form
    1,660.50/2,291.49 = 997.92/x
  3. Step 3: Cross multiply
    1,660.50x = 2,291.49 × 997.92
  4. Step 4: Simplify right side
    1,660.50x = 2,286,723.70
  5. Step 5: Solve for x
    x = 2,286,723.70/1,660.50
  6. Step 6: Final answer
    x = 1,377.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.