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Finding the Fourth Proportional to 680.45, 938.57 and 418.62

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Solution

The fourth proportional to 680.45, 938.57 and 418.62 is: 577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.45 : 938.57 = 418.62 : x
  2. Step 2: Convert to fraction form
    680.45/938.57 = 418.62/x
  3. Step 3: Cross multiply
    680.45x = 938.57 × 418.62
  4. Step 4: Simplify right side
    680.45x = 392,902.08
  5. Step 5: Solve for x
    x = 392,902.08/680.45
  6. Step 6: Final answer
    x = 577.42

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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.