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Finding the Fourth Proportional to 680.34, 1,019.89 and 247.39

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Solution

The fourth proportional to 680.34, 1,019.89 and 247.39 is: 370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,019.89 = 247.39 : x
  2. Step 2: Convert to fraction form
    680.34/1,019.89 = 247.39/x
  3. Step 3: Cross multiply
    680.34x = 1,019.89 × 247.39
  4. Step 4: Simplify right side
    680.34x = 252,310.59
  5. Step 5: Solve for x
    x = 252,310.59/680.34
  6. Step 6: Final answer
    x = 370.86

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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.