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Finding the Fourth Proportional to 871.32, 1,202.88 and 577.28

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Solution

The fourth proportional to 871.32, 1,202.88 and 577.28 is: 796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.32 : 1,202.88 = 577.28 : x
  2. Step 2: Convert to fraction form
    871.32/1,202.88 = 577.28/x
  3. Step 3: Cross multiply
    871.32x = 1,202.88 × 577.28
  4. Step 4: Simplify right side
    871.32x = 694,398.57
  5. Step 5: Solve for x
    x = 694,398.57/871.32
  6. Step 6: Final answer
    x = 796.95

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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.