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Finding the Fourth Proportional to 791.42, 1,187.28 and 380.84

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Solution

The fourth proportional to 791.42, 1,187.28 and 380.84 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,187.28 = 380.84 : x
  2. Step 2: Convert to fraction form
    791.42/1,187.28 = 380.84/x
  3. Step 3: Cross multiply
    791.42x = 1,187.28 × 380.84
  4. Step 4: Simplify right side
    791.42x = 452,157.78
  5. Step 5: Solve for x
    x = 452,157.78/791.42
  6. Step 6: Final answer
    x = 571.33

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1.5x scale

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.