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Finding the Fourth Proportional to 819.84, 1,131.94 and 767.56

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Solution

The fourth proportional to 819.84, 1,131.94 and 767.56 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,131.94 = 767.56 : x
  2. Step 2: Convert to fraction form
    819.84/1,131.94 = 767.56/x
  3. Step 3: Cross multiply
    819.84x = 1,131.94 × 767.56
  4. Step 4: Simplify right side
    819.84x = 868,827.12
  5. Step 5: Solve for x
    x = 868,827.12/819.84
  6. Step 6: Final answer
    x = 1,059.75

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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.