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Finding the Fourth Proportional to 791.97, 1,186.58 and 427.01

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Solution

The fourth proportional to 791.97, 1,186.58 and 427.01 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.97 : 1,186.58 = 427.01 : x
  2. Step 2: Convert to fraction form
    791.97/1,186.58 = 427.01/x
  3. Step 3: Cross multiply
    791.97x = 1,186.58 × 427.01
  4. Step 4: Simplify right side
    791.97x = 506,685.56
  5. Step 5: Solve for x
    x = 506,685.56/791.97
  6. Step 6: Final answer
    x = 639.78

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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.