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Finding the Fourth Proportional to 814.48, 1,213.97 and 768.35

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Solution

The fourth proportional to 814.48, 1,213.97 and 768.35 is: 1,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.48 : 1,213.97 = 768.35 : x
  2. Step 2: Convert to fraction form
    814.48/1,213.97 = 768.35/x
  3. Step 3: Cross multiply
    814.48x = 1,213.97 × 768.35
  4. Step 4: Simplify right side
    814.48x = 932,753.04
  5. Step 5: Solve for x
    x = 932,753.04/814.48
  6. Step 6: Final answer
    x = 1,145.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.