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Finding the Fourth Proportional to 1,381.37, 1,906.08 and 791.79

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Solution

The fourth proportional to 1,381.37, 1,906.08 and 791.79 is: 1,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.37 : 1,906.08 = 791.79 : x
  2. Step 2: Convert to fraction form
    1,381.37/1,906.08 = 791.79/x
  3. Step 3: Cross multiply
    1,381.37x = 1,906.08 × 791.79
  4. Step 4: Simplify right side
    1,381.37x = 1,509,204.97
  5. Step 5: Solve for x
    x = 1,509,204.97/1,381.37
  6. Step 6: Final answer
    x = 1,092.55

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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.