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Finding the Fourth Proportional to 1,351.42, 1,864.31 and 791.54

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Solution

The fourth proportional to 1,351.42, 1,864.31 and 791.54 is: 1,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.42 : 1,864.31 = 791.54 : x
  2. Step 2: Convert to fraction form
    1,351.42/1,864.31 = 791.54/x
  3. Step 3: Cross multiply
    1,351.42x = 1,864.31 × 791.54
  4. Step 4: Simplify right side
    1,351.42x = 1,475,666.62
  5. Step 5: Solve for x
    x = 1,475,666.62/1,351.42
  6. Step 6: Final answer
    x = 1,091.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.