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Finding the Fourth Proportional to 1,286.36, 1,775.24 and 726.85

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Solution

The fourth proportional to 1,286.36, 1,775.24 and 726.85 is: 1,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.36 : 1,775.24 = 726.85 : x
  2. Step 2: Convert to fraction form
    1,286.36/1,775.24 = 726.85/x
  3. Step 3: Cross multiply
    1,286.36x = 1,775.24 × 726.85
  4. Step 4: Simplify right side
    1,286.36x = 1,290,333.19
  5. Step 5: Solve for x
    x = 1,290,333.19/1,286.36
  6. Step 6: Final answer
    x = 1,003.09

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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.