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Finding the Fourth Proportional to 680.27, 1,019.95 and 247.37

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Solution

The fourth proportional to 680.27, 1,019.95 and 247.37 is: 370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 1,019.95 = 247.37 : x
  2. Step 2: Convert to fraction form
    680.27/1,019.95 = 247.37/x
  3. Step 3: Cross multiply
    680.27x = 1,019.95 × 247.37
  4. Step 4: Simplify right side
    680.27x = 252,299.31
  5. Step 5: Solve for x
    x = 252,299.31/680.27
  6. Step 6: Final answer
    x = 370.88

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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.