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Finding the Fourth Proportional to 1,425.59, 2,138.17 and 451.56

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Solution

The fourth proportional to 1,425.59, 2,138.17 and 451.56 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.59 : 2,138.17 = 451.56 : x
  2. Step 2: Convert to fraction form
    1,425.59/2,138.17 = 451.56/x
  3. Step 3: Cross multiply
    1,425.59x = 2,138.17 × 451.56
  4. Step 4: Simplify right side
    1,425.59x = 965,512.05
  5. Step 5: Solve for x
    x = 965,512.05/1,425.59
  6. Step 6: Final answer
    x = 677.27

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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.