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Finding the Fourth Proportional to 871.80, 1,203.15 and 819.26

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Solution

The fourth proportional to 871.80, 1,203.15 and 819.26 is: 1,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,203.15 = 819.26 : x
  2. Step 2: Convert to fraction form
    871.80/1,203.15 = 819.26/x
  3. Step 3: Cross multiply
    871.80x = 1,203.15 × 819.26
  4. Step 4: Simplify right side
    871.80x = 985,692.67
  5. Step 5: Solve for x
    x = 985,692.67/871.80
  6. Step 6: Final answer
    x = 1,130.64

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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.