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Finding the Fourth Proportional to 811.97, 1,119.26 and 768.23

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Solution

The fourth proportional to 811.97, 1,119.26 and 768.23 is: 1,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,119.26 = 768.23 : x
  2. Step 2: Convert to fraction form
    811.97/1,119.26 = 768.23/x
  3. Step 3: Cross multiply
    811.97x = 1,119.26 × 768.23
  4. Step 4: Simplify right side
    811.97x = 859,845.27
  5. Step 5: Solve for x
    x = 859,845.27/811.97
  6. Step 6: Final answer
    x = 1,058.96

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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.