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Finding the Fourth Proportional to 871.57, 1,202.58 and 517.50

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Solution

The fourth proportional to 871.57, 1,202.58 and 517.50 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.57 : 1,202.58 = 517.50 : x
  2. Step 2: Convert to fraction form
    871.57/1,202.58 = 517.50/x
  3. Step 3: Cross multiply
    871.57x = 1,202.58 × 517.50
  4. Step 4: Simplify right side
    871.57x = 622,335.15
  5. Step 5: Solve for x
    x = 622,335.15/871.57
  6. Step 6: Final answer
    x = 714.04

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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.