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Finding the Fourth Proportional to 791.42, 1,186.52 and 380.33

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Solution

The fourth proportional to 791.42, 1,186.52 and 380.33 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,186.52 = 380.33 : x
  2. Step 2: Convert to fraction form
    791.42/1,186.52 = 380.33/x
  3. Step 3: Cross multiply
    791.42x = 1,186.52 × 380.33
  4. Step 4: Simplify right side
    791.42x = 451,265.77
  5. Step 5: Solve for x
    x = 451,265.77/791.42
  6. Step 6: Final answer
    x = 570.20

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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.