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Finding the Fourth Proportional to 871.22, 1,202.74 and 671.61

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Solution

The fourth proportional to 871.22, 1,202.74 and 671.61 is: 927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.22 : 1,202.74 = 671.61 : x
  2. Step 2: Convert to fraction form
    871.22/1,202.74 = 671.61/x
  3. Step 3: Cross multiply
    871.22x = 1,202.74 × 671.61
  4. Step 4: Simplify right side
    871.22x = 807,774.31
  5. Step 5: Solve for x
    x = 807,774.31/871.22
  6. Step 6: Final answer
    x = 927.18

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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.