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Finding the Fourth Proportional to 795.78, 1,187.42 and 791.24

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Solution

The fourth proportional to 795.78, 1,187.42 and 791.24 is: 1,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,187.42 = 791.24 : x
  2. Step 2: Convert to fraction form
    795.78/1,187.42 = 791.24/x
  3. Step 3: Cross multiply
    795.78x = 1,187.42 × 791.24
  4. Step 4: Simplify right side
    795.78x = 939,524.31
  5. Step 5: Solve for x
    x = 939,524.31/795.78
  6. Step 6: Final answer
    x = 1,180.63

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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.