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Finding the Fourth Proportional to 871.03, 1,194.23 and 855.44

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Solution

The fourth proportional to 871.03, 1,194.23 and 855.44 is: 1,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.03 : 1,194.23 = 855.44 : x
  2. Step 2: Convert to fraction form
    871.03/1,194.23 = 855.44/x
  3. Step 3: Cross multiply
    871.03x = 1,194.23 × 855.44
  4. Step 4: Simplify right side
    871.03x = 1,021,581.86
  5. Step 5: Solve for x
    x = 1,021,581.86/871.03
  6. Step 6: Final answer
    x = 1,172.85

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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.