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Finding the Fourth Proportional to 680.59, 939.20 and 385.84

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Solution

The fourth proportional to 680.59, 939.20 and 385.84 is: 532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.59 : 939.20 = 385.84 : x
  2. Step 2: Convert to fraction form
    680.59/939.20 = 385.84/x
  3. Step 3: Cross multiply
    680.59x = 939.20 × 385.84
  4. Step 4: Simplify right side
    680.59x = 362,380.93
  5. Step 5: Solve for x
    x = 362,380.93/680.59
  6. Step 6: Final answer
    x = 532.45

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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.