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Finding the Fourth Proportional to 772.97, 1,159.92 and 286.43

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Solution

The fourth proportional to 772.97, 1,159.92 and 286.43 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.97 : 1,159.92 = 286.43 : x
  2. Step 2: Convert to fraction form
    772.97/1,159.92 = 286.43/x
  3. Step 3: Cross multiply
    772.97x = 1,159.92 × 286.43
  4. Step 4: Simplify right side
    772.97x = 332,230.09
  5. Step 5: Solve for x
    x = 332,230.09/772.97
  6. Step 6: Final answer
    x = 429.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.