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Finding the Fourth Proportional to 1,286.24, 1,774.92 and 726.73

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Solution

The fourth proportional to 1,286.24, 1,774.92 and 726.73 is: 1,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.24 : 1,774.92 = 726.73 : x
  2. Step 2: Convert to fraction form
    1,286.24/1,774.92 = 726.73/x
  3. Step 3: Cross multiply
    1,286.24x = 1,774.92 × 726.73
  4. Step 4: Simplify right side
    1,286.24x = 1,289,887.61
  5. Step 5: Solve for x
    x = 1,289,887.61/1,286.24
  6. Step 6: Final answer
    x = 1,002.84

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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.