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Finding the Fourth Proportional to 1,252.90, 1,729.22 and 1,042.80

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Solution

The fourth proportional to 1,252.90, 1,729.22 and 1,042.80 is: 1,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.90 : 1,729.22 = 1,042.80 : x
  2. Step 2: Convert to fraction form
    1,252.90/1,729.22 = 1,042.80/x
  3. Step 3: Cross multiply
    1,252.90x = 1,729.22 × 1,042.80
  4. Step 4: Simplify right side
    1,252.90x = 1,803,230.62
  5. Step 5: Solve for x
    x = 1,803,230.62/1,252.90
  6. Step 6: Final answer
    x = 1,439.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.