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Finding the Fourth Proportional to 820.47, 1,229.49 and 560.46

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Solution

The fourth proportional to 820.47, 1,229.49 and 560.46 is: 839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.47 : 1,229.49 = 560.46 : x
  2. Step 2: Convert to fraction form
    820.47/1,229.49 = 560.46/x
  3. Step 3: Cross multiply
    820.47x = 1,229.49 × 560.46
  4. Step 4: Simplify right side
    820.47x = 689,079.97
  5. Step 5: Solve for x
    x = 689,079.97/820.47
  6. Step 6: Final answer
    x = 839.86

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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.