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Finding the Fourth Proportional to 871.13, 1,202.10 and 498.12

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Solution

The fourth proportional to 871.13, 1,202.10 and 498.12 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.13 : 1,202.10 = 498.12 : x
  2. Step 2: Convert to fraction form
    871.13/1,202.10 = 498.12/x
  3. Step 3: Cross multiply
    871.13x = 1,202.10 × 498.12
  4. Step 4: Simplify right side
    871.13x = 598,790.05
  5. Step 5: Solve for x
    x = 598,790.05/871.13
  6. Step 6: Final answer
    x = 687.37

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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.