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Finding the Fourth Proportional to 847.82, 1,269.76 and 824.47

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Solution

The fourth proportional to 847.82, 1,269.76 and 824.47 is: 1,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.82 : 1,269.76 = 824.47 : x
  2. Step 2: Convert to fraction form
    847.82/1,269.76 = 824.47/x
  3. Step 3: Cross multiply
    847.82x = 1,269.76 × 824.47
  4. Step 4: Simplify right side
    847.82x = 1,046,868.56
  5. Step 5: Solve for x
    x = 1,046,868.56/847.82
  6. Step 6: Final answer
    x = 1,234.78

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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.