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Finding the Fourth Proportional to 1,425.90, 2,138.99 and 385.91

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Solution

The fourth proportional to 1,425.90, 2,138.99 and 385.91 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.90 : 2,138.99 = 385.91 : x
  2. Step 2: Convert to fraction form
    1,425.90/2,138.99 = 385.91/x
  3. Step 3: Cross multiply
    1,425.90x = 2,138.99 × 385.91
  4. Step 4: Simplify right side
    1,425.90x = 825,446.94
  5. Step 5: Solve for x
    x = 825,446.94/1,425.90
  6. Step 6: Final answer
    x = 578.90

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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.