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Finding the Fourth Proportional to 927.65, 1,272.56 and 871.76

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Solution

The fourth proportional to 927.65, 1,272.56 and 871.76 is: 1,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,272.56 = 871.76 : x
  2. Step 2: Convert to fraction form
    927.65/1,272.56 = 871.76/x
  3. Step 3: Cross multiply
    927.65x = 1,272.56 × 871.76
  4. Step 4: Simplify right side
    927.65x = 1,109,370.63
  5. Step 5: Solve for x
    x = 1,109,370.63/927.65
  6. Step 6: Final answer
    x = 1,195.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.