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Finding the Fourth Proportional to 791.31, 1,185.66 and 271.03

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Solution

The fourth proportional to 791.31, 1,185.66 and 271.03 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.31 : 1,185.66 = 271.03 : x
  2. Step 2: Convert to fraction form
    791.31/1,185.66 = 271.03/x
  3. Step 3: Cross multiply
    791.31x = 1,185.66 × 271.03
  4. Step 4: Simplify right side
    791.31x = 321,345.02
  5. Step 5: Solve for x
    x = 321,345.02/791.31
  6. Step 6: Final answer
    x = 406.09

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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.