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Finding the Fourth Proportional to 680.20, 937.70 and 418.04

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Solution

The fourth proportional to 680.20, 937.70 and 418.04 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.20 : 937.70 = 418.04 : x
  2. Step 2: Convert to fraction form
    680.20/937.70 = 418.04/x
  3. Step 3: Cross multiply
    680.20x = 937.70 × 418.04
  4. Step 4: Simplify right side
    680.20x = 391,996.11
  5. Step 5: Solve for x
    x = 391,996.11/680.20
  6. Step 6: Final answer
    x = 576.30

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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.