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Finding the Fourth Proportional to 680.34, 938.61 and 385.46

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Solution

The fourth proportional to 680.34, 938.61 and 385.46 is: 531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 938.61 = 385.46 : x
  2. Step 2: Convert to fraction form
    680.34/938.61 = 385.46/x
  3. Step 3: Cross multiply
    680.34x = 938.61 × 385.46
  4. Step 4: Simplify right side
    680.34x = 361,796.61
  5. Step 5: Solve for x
    x = 361,796.61/680.34
  6. Step 6: Final answer
    x = 531.79

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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.