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Finding the Fourth Proportional to 866.98, 1,197.78 and 726.88

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Solution

The fourth proportional to 866.98, 1,197.78 and 726.88 is: 1,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.98 : 1,197.78 = 726.88 : x
  2. Step 2: Convert to fraction form
    866.98/1,197.78 = 726.88/x
  3. Step 3: Cross multiply
    866.98x = 1,197.78 × 726.88
  4. Step 4: Simplify right side
    866.98x = 870,642.33
  5. Step 5: Solve for x
    x = 870,642.33/866.98
  6. Step 6: Final answer
    x = 1,004.22

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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.