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Finding the Fourth Proportional to 820.22, 1,229.51 and 674.42

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Solution

The fourth proportional to 820.22, 1,229.51 and 674.42 is: 1,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.22 : 1,229.51 = 674.42 : x
  2. Step 2: Convert to fraction form
    820.22/1,229.51 = 674.42/x
  3. Step 3: Cross multiply
    820.22x = 1,229.51 × 674.42
  4. Step 4: Simplify right side
    820.22x = 829,196.61
  5. Step 5: Solve for x
    x = 829,196.61/820.22
  6. Step 6: Final answer
    x = 1,010.95

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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.