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Finding the Fourth Proportional to 871.80, 1,200.74 and 806.11

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Solution

The fourth proportional to 871.80, 1,200.74 and 806.11 is: 1,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,200.74 = 806.11 : x
  2. Step 2: Convert to fraction form
    871.80/1,200.74 = 806.11/x
  3. Step 3: Cross multiply
    871.80x = 1,200.74 × 806.11
  4. Step 4: Simplify right side
    871.80x = 967,926.02
  5. Step 5: Solve for x
    x = 967,926.02/871.80
  6. Step 6: Final answer
    x = 1,110.27

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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.