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Finding the Fourth Proportional to 871.09, 1,202.09 and 478.12

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Solution

The fourth proportional to 871.09, 1,202.09 and 478.12 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.09 : 1,202.09 = 478.12 : x
  2. Step 2: Convert to fraction form
    871.09/1,202.09 = 478.12/x
  3. Step 3: Cross multiply
    871.09x = 1,202.09 × 478.12
  4. Step 4: Simplify right side
    871.09x = 574,737.26
  5. Step 5: Solve for x
    x = 574,737.26/871.09
  6. Step 6: Final answer
    x = 659.79

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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.