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Finding the Fourth Proportional to 824.78, 1,234.20 and 516.80

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Solution

The fourth proportional to 824.78, 1,234.20 and 516.80 is: 773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.78 : 1,234.20 = 516.80 : x
  2. Step 2: Convert to fraction form
    824.78/1,234.20 = 516.80/x
  3. Step 3: Cross multiply
    824.78x = 1,234.20 × 516.80
  4. Step 4: Simplify right side
    824.78x = 637,834.56
  5. Step 5: Solve for x
    x = 637,834.56/824.78
  6. Step 6: Final answer
    x = 773.34

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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.