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Finding the Fourth Proportional to 679.82, 938.28 and 396.43

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Solution

The fourth proportional to 679.82, 938.28 and 396.43 is: 547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.82 : 938.28 = 396.43 : x
  2. Step 2: Convert to fraction form
    679.82/938.28 = 396.43/x
  3. Step 3: Cross multiply
    679.82x = 938.28 × 396.43
  4. Step 4: Simplify right side
    679.82x = 371,957.65
  5. Step 5: Solve for x
    x = 371,957.65/679.82
  6. Step 6: Final answer
    x = 547.14

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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.