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Finding the Fourth Proportional to 1,521.64, 2,098.66 and 997.57

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Solution

The fourth proportional to 1,521.64, 2,098.66 and 997.57 is: 1,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.64 : 2,098.66 = 997.57 : x
  2. Step 2: Convert to fraction form
    1,521.64/2,098.66 = 997.57/x
  3. Step 3: Cross multiply
    1,521.64x = 2,098.66 × 997.57
  4. Step 4: Simplify right side
    1,521.64x = 2,093,544.78
  5. Step 5: Solve for x
    x = 2,093,544.78/1,521.64
  6. Step 6: Final answer
    x = 1,375.85

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