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Finding the Fourth Proportional to 1,425.77, 2,138.80 and 385.78

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Solution

The fourth proportional to 1,425.77, 2,138.80 and 385.78 is: 578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.77 : 2,138.80 = 385.78 : x
  2. Step 2: Convert to fraction form
    1,425.77/2,138.80 = 385.78/x
  3. Step 3: Cross multiply
    1,425.77x = 2,138.80 × 385.78
  4. Step 4: Simplify right side
    1,425.77x = 825,099.95
  5. Step 5: Solve for x
    x = 825,099.95/1,425.77
  6. Step 6: Final answer
    x = 578.71

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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.