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Finding the Fourth Proportional to 680.13, 1,020.15 and 247.23

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Solution

The fourth proportional to 680.13, 1,020.15 and 247.23 is: 370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 1,020.15 = 247.23 : x
  2. Step 2: Convert to fraction form
    680.13/1,020.15 = 247.23/x
  3. Step 3: Cross multiply
    680.13x = 1,020.15 × 247.23
  4. Step 4: Simplify right side
    680.13x = 252,211.68
  5. Step 5: Solve for x
    x = 252,211.68/680.13
  6. Step 6: Final answer
    x = 370.83

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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.