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Finding the Fourth Proportional to 882.38, 1,215.56 and 742.49

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Solution

The fourth proportional to 882.38, 1,215.56 and 742.49 is: 1,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,215.56 = 742.49 : x
  2. Step 2: Convert to fraction form
    882.38/1,215.56 = 742.49/x
  3. Step 3: Cross multiply
    882.38x = 1,215.56 × 742.49
  4. Step 4: Simplify right side
    882.38x = 902,540.47
  5. Step 5: Solve for x
    x = 902,540.47/882.38
  6. Step 6: Final answer
    x = 1,022.85

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1.5x scale

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.