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Finding the Fourth Proportional to 798.88, 1,191.33 and 791.59

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Solution

The fourth proportional to 798.88, 1,191.33 and 791.59 is: 1,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.88 : 1,191.33 = 791.59 : x
  2. Step 2: Convert to fraction form
    798.88/1,191.33 = 791.59/x
  3. Step 3: Cross multiply
    798.88x = 1,191.33 × 791.59
  4. Step 4: Simplify right side
    798.88x = 943,044.91
  5. Step 5: Solve for x
    x = 943,044.91/798.88
  6. Step 6: Final answer
    x = 1,180.46

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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.