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Finding the Fourth Proportional to 871.20, 1,200.87 and 539.06

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Solution

The fourth proportional to 871.20, 1,200.87 and 539.06 is: 743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.20 : 1,200.87 = 539.06 : x
  2. Step 2: Convert to fraction form
    871.20/1,200.87 = 539.06/x
  3. Step 3: Cross multiply
    871.20x = 1,200.87 × 539.06
  4. Step 4: Simplify right side
    871.20x = 647,334.98
  5. Step 5: Solve for x
    x = 647,334.98/871.20
  6. Step 6: Final answer
    x = 743.04

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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.