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Finding the Fourth Proportional to 1,286.12, 1,774.88 and 726.60

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Solution

The fourth proportional to 1,286.12, 1,774.88 and 726.60 is: 1,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.12 : 1,774.88 = 726.60 : x
  2. Step 2: Convert to fraction form
    1,286.12/1,774.88 = 726.60/x
  3. Step 3: Cross multiply
    1,286.12x = 1,774.88 × 726.60
  4. Step 4: Simplify right side
    1,286.12x = 1,289,620.11
  5. Step 5: Solve for x
    x = 1,289,620.11/1,286.12
  6. Step 6: Final answer
    x = 1,002.72

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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.