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Finding the Fourth Proportional to 791.67, 1,186.20 and 559.42

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Solution

The fourth proportional to 791.67, 1,186.20 and 559.42 is: 838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.67 : 1,186.20 = 559.42 : x
  2. Step 2: Convert to fraction form
    791.67/1,186.20 = 559.42/x
  3. Step 3: Cross multiply
    791.67x = 1,186.20 × 559.42
  4. Step 4: Simplify right side
    791.67x = 663,584.00
  5. Step 5: Solve for x
    x = 663,584.00/791.67
  6. Step 6: Final answer
    x = 838.21

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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.