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Finding the Fourth Proportional to 871.08, 1,202.12 and 478.11

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Solution

The fourth proportional to 871.08, 1,202.12 and 478.11 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.08 : 1,202.12 = 478.11 : x
  2. Step 2: Convert to fraction form
    871.08/1,202.12 = 478.11/x
  3. Step 3: Cross multiply
    871.08x = 1,202.12 × 478.11
  4. Step 4: Simplify right side
    871.08x = 574,745.59
  5. Step 5: Solve for x
    x = 574,745.59/871.08
  6. Step 6: Final answer
    x = 659.81

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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.