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Finding the Fourth Proportional to 882.89, 1,215.92 and 863.75

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Solution

The fourth proportional to 882.89, 1,215.92 and 863.75 is: 1,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.89 : 1,215.92 = 863.75 : x
  2. Step 2: Convert to fraction form
    882.89/1,215.92 = 863.75/x
  3. Step 3: Cross multiply
    882.89x = 1,215.92 × 863.75
  4. Step 4: Simplify right side
    882.89x = 1,050,250.90
  5. Step 5: Solve for x
    x = 1,050,250.90/882.89
  6. Step 6: Final answer
    x = 1,189.56

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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.