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Finding the Fourth Proportional to 686.82, 942.68 and 611.48

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Solution

The fourth proportional to 686.82, 942.68 and 611.48 is: 839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.82 : 942.68 = 611.48 : x
  2. Step 2: Convert to fraction form
    686.82/942.68 = 611.48/x
  3. Step 3: Cross multiply
    686.82x = 942.68 × 611.48
  4. Step 4: Simplify right side
    686.82x = 576,429.97
  5. Step 5: Solve for x
    x = 576,429.97/686.82
  6. Step 6: Final answer
    x = 839.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.