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Finding the Fourth Proportional to 882.27, 1,217.16 and 812.34

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Solution

The fourth proportional to 882.27, 1,217.16 and 812.34 is: 1,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.27 : 1,217.16 = 812.34 : x
  2. Step 2: Convert to fraction form
    882.27/1,217.16 = 812.34/x
  3. Step 3: Cross multiply
    882.27x = 1,217.16 × 812.34
  4. Step 4: Simplify right side
    882.27x = 988,747.75
  5. Step 5: Solve for x
    x = 988,747.75/882.27
  6. Step 6: Final answer
    x = 1,120.69

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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.