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Finding the Fourth Proportional to 871.22, 1,201.91 and 539.53

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Solution

The fourth proportional to 871.22, 1,201.91 and 539.53 is: 744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.22 : 1,201.91 = 539.53 : x
  2. Step 2: Convert to fraction form
    871.22/1,201.91 = 539.53/x
  3. Step 3: Cross multiply
    871.22x = 1,201.91 × 539.53
  4. Step 4: Simplify right side
    871.22x = 648,460.80
  5. Step 5: Solve for x
    x = 648,460.80/871.22
  6. Step 6: Final answer
    x = 744.31

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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.