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Finding the Fourth Proportional to 694.62, 952.31 and 682.34

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Solution

The fourth proportional to 694.62, 952.31 and 682.34 is: 935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.62 : 952.31 = 682.34 : x
  2. Step 2: Convert to fraction form
    694.62/952.31 = 682.34/x
  3. Step 3: Cross multiply
    694.62x = 952.31 × 682.34
  4. Step 4: Simplify right side
    694.62x = 649,796.15
  5. Step 5: Solve for x
    x = 649,796.15/694.62
  6. Step 6: Final answer
    x = 935.47

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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.