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Finding the Fourth Proportional to 1,218.41, 1,679.66 and 868.49

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Solution

The fourth proportional to 1,218.41, 1,679.66 and 868.49 is: 1,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.41 : 1,679.66 = 868.49 : x
  2. Step 2: Convert to fraction form
    1,218.41/1,679.66 = 868.49/x
  3. Step 3: Cross multiply
    1,218.41x = 1,679.66 × 868.49
  4. Step 4: Simplify right side
    1,218.41x = 1,458,755.17
  5. Step 5: Solve for x
    x = 1,458,755.17/1,218.41
  6. Step 6: Final answer
    x = 1,197.27

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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.