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Finding the Fourth Proportional to 1,286.49, 1,775.43 and 726.98

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Solution

The fourth proportional to 1,286.49, 1,775.43 and 726.98 is: 1,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.49 : 1,775.43 = 726.98 : x
  2. Step 2: Convert to fraction form
    1,286.49/1,775.43 = 726.98/x
  3. Step 3: Cross multiply
    1,286.49x = 1,775.43 × 726.98
  4. Step 4: Simplify right side
    1,286.49x = 1,290,702.10
  5. Step 5: Solve for x
    x = 1,290,702.10/1,286.49
  6. Step 6: Final answer
    x = 1,003.27

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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.