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Finding the Fourth Proportional to 680.14, 938.59 and 385.46

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Solution

The fourth proportional to 680.14, 938.59 and 385.46 is: 531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.14 : 938.59 = 385.46 : x
  2. Step 2: Convert to fraction form
    680.14/938.59 = 385.46/x
  3. Step 3: Cross multiply
    680.14x = 938.59 × 385.46
  4. Step 4: Simplify right side
    680.14x = 361,790.28
  5. Step 5: Solve for x
    x = 361,790.28/680.14
  6. Step 6: Final answer
    x = 531.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.