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Finding the Fourth Proportional to 853.73, 1,171.24 and 812.42

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Solution

The fourth proportional to 853.73, 1,171.24 and 812.42 is: 1,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.73 : 1,171.24 = 812.42 : x
  2. Step 2: Convert to fraction form
    853.73/1,171.24 = 812.42/x
  3. Step 3: Cross multiply
    853.73x = 1,171.24 × 812.42
  4. Step 4: Simplify right side
    853.73x = 951,538.80
  5. Step 5: Solve for x
    x = 951,538.80/853.73
  6. Step 6: Final answer
    x = 1,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.