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Finding the Fourth Proportional to 680.42, 1,021.04 and 247.61

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Solution

The fourth proportional to 680.42, 1,021.04 and 247.61 is: 371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.42 : 1,021.04 = 247.61 : x
  2. Step 2: Convert to fraction form
    680.42/1,021.04 = 247.61/x
  3. Step 3: Cross multiply
    680.42x = 1,021.04 × 247.61
  4. Step 4: Simplify right side
    680.42x = 252,818.48
  5. Step 5: Solve for x
    x = 252,818.48/680.42
  6. Step 6: Final answer
    x = 371.56

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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.