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Finding the Fourth Proportional to 680.38, 938.99 and 385.70

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Solution

The fourth proportional to 680.38, 938.99 and 385.70 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.38 : 938.99 = 385.70 : x
  2. Step 2: Convert to fraction form
    680.38/938.99 = 385.70/x
  3. Step 3: Cross multiply
    680.38x = 938.99 × 385.70
  4. Step 4: Simplify right side
    680.38x = 362,168.44
  5. Step 5: Solve for x
    x = 362,168.44/680.38
  6. Step 6: Final answer
    x = 532.30

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1.5x scale

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.