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Finding the Fourth Proportional to 882.76, 1,321.50 and 727.96

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Solution

The fourth proportional to 882.76, 1,321.50 and 727.96 is: 1,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.76 : 1,321.50 = 727.96 : x
  2. Step 2: Convert to fraction form
    882.76/1,321.50 = 727.96/x
  3. Step 3: Cross multiply
    882.76x = 1,321.50 × 727.96
  4. Step 4: Simplify right side
    882.76x = 961,999.14
  5. Step 5: Solve for x
    x = 961,999.14/882.76
  6. Step 6: Final answer
    x = 1,089.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.