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Finding the Fourth Proportional to 882.53, 1,321.82 and 865.59

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Solution

The fourth proportional to 882.53, 1,321.82 and 865.59 is: 1,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.53 : 1,321.82 = 865.59 : x
  2. Step 2: Convert to fraction form
    882.53/1,321.82 = 865.59/x
  3. Step 3: Cross multiply
    882.53x = 1,321.82 × 865.59
  4. Step 4: Simplify right side
    882.53x = 1,144,149.85
  5. Step 5: Solve for x
    x = 1,144,149.85/882.53
  6. Step 6: Final answer
    x = 1,296.45

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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.