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Finding the Fourth Proportional to 1,414.79, 2,121.41 and 490.27

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Solution

The fourth proportional to 1,414.79, 2,121.41 and 490.27 is: 735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.79 : 2,121.41 = 490.27 : x
  2. Step 2: Convert to fraction form
    1,414.79/2,121.41 = 490.27/x
  3. Step 3: Cross multiply
    1,414.79x = 2,121.41 × 490.27
  4. Step 4: Simplify right side
    1,414.79x = 1,040,063.58
  5. Step 5: Solve for x
    x = 1,040,063.58/1,414.79
  6. Step 6: Final answer
    x = 735.14

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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.