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Finding the Fourth Proportional to 1,248.90, 1,871.28 and 760.47

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Solution

The fourth proportional to 1,248.90, 1,871.28 and 760.47 is: 1,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.90 : 1,871.28 = 760.47 : x
  2. Step 2: Convert to fraction form
    1,248.90/1,871.28 = 760.47/x
  3. Step 3: Cross multiply
    1,248.90x = 1,871.28 × 760.47
  4. Step 4: Simplify right side
    1,248.90x = 1,423,052.30
  5. Step 5: Solve for x
    x = 1,423,052.30/1,248.90
  6. Step 6: Final answer
    x = 1,139.44

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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.