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Finding the Fourth Proportional to 1,660.12, 2,290.68 and 997.12

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Solution

The fourth proportional to 1,660.12, 2,290.68 and 997.12 is: 1,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.12 : 2,290.68 = 997.12 : x
  2. Step 2: Convert to fraction form
    1,660.12/2,290.68 = 997.12/x
  3. Step 3: Cross multiply
    1,660.12x = 2,290.68 × 997.12
  4. Step 4: Simplify right side
    1,660.12x = 2,284,082.84
  5. Step 5: Solve for x
    x = 2,284,082.84/1,660.12
  6. Step 6: Final answer
    x = 1,375.85

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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.