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Finding the Fourth Proportional to 1,414.73, 2,121.57 and 490.02

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Solution

The fourth proportional to 1,414.73, 2,121.57 and 490.02 is: 734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.73 : 2,121.57 = 490.02 : x
  2. Step 2: Convert to fraction form
    1,414.73/2,121.57 = 490.02/x
  3. Step 3: Cross multiply
    1,414.73x = 2,121.57 × 490.02
  4. Step 4: Simplify right side
    1,414.73x = 1,039,611.73
  5. Step 5: Solve for x
    x = 1,039,611.73/1,414.73
  6. Step 6: Final answer
    x = 734.85

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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.