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Finding the Fourth Proportional to 1,414.78, 2,121.90 and 440.80

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Solution

The fourth proportional to 1,414.78, 2,121.90 and 440.80 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.78 : 2,121.90 = 440.80 : x
  2. Step 2: Convert to fraction form
    1,414.78/2,121.90 = 440.80/x
  3. Step 3: Cross multiply
    1,414.78x = 2,121.90 × 440.80
  4. Step 4: Simplify right side
    1,414.78x = 935,333.52
  5. Step 5: Solve for x
    x = 935,333.52/1,414.78
  6. Step 6: Final answer
    x = 661.12

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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.