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Finding the Fourth Proportional to 871.22, 1,201.90 and 534.86

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Solution

The fourth proportional to 871.22, 1,201.90 and 534.86 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.22 : 1,201.90 = 534.86 : x
  2. Step 2: Convert to fraction form
    871.22/1,201.90 = 534.86/x
  3. Step 3: Cross multiply
    871.22x = 1,201.90 × 534.86
  4. Step 4: Simplify right side
    871.22x = 642,848.23
  5. Step 5: Solve for x
    x = 642,848.23/871.22
  6. Step 6: Final answer
    x = 737.87

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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.