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Finding the Fourth Proportional to 1,431.09, 1,974.44 and 871.79

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Solution

The fourth proportional to 1,431.09, 1,974.44 and 871.79 is: 1,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.09 : 1,974.44 = 871.79 : x
  2. Step 2: Convert to fraction form
    1,431.09/1,974.44 = 871.79/x
  3. Step 3: Cross multiply
    1,431.09x = 1,974.44 × 871.79
  4. Step 4: Simplify right side
    1,431.09x = 1,721,289.35
  5. Step 5: Solve for x
    x = 1,721,289.35/1,431.09
  6. Step 6: Final answer
    x = 1,202.78

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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.