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Finding the Fourth Proportional to 813.27, 1,122.26 and 481.80

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Solution

The fourth proportional to 813.27, 1,122.26 and 481.80 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.27 : 1,122.26 = 481.80 : x
  2. Step 2: Convert to fraction form
    813.27/1,122.26 = 481.80/x
  3. Step 3: Cross multiply
    813.27x = 1,122.26 × 481.80
  4. Step 4: Simplify right side
    813.27x = 540,704.87
  5. Step 5: Solve for x
    x = 540,704.87/813.27
  6. Step 6: Final answer
    x = 664.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.