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Finding the Fourth Proportional to 680.15, 1,020.33 and 217.79

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Solution

The fourth proportional to 680.15, 1,020.33 and 217.79 is: 326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.15 : 1,020.33 = 217.79 : x
  2. Step 2: Convert to fraction form
    680.15/1,020.33 = 217.79/x
  3. Step 3: Cross multiply
    680.15x = 1,020.33 × 217.79
  4. Step 4: Simplify right side
    680.15x = 222,212.57
  5. Step 5: Solve for x
    x = 222,212.57/680.15
  6. Step 6: Final answer
    x = 326.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.