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Finding the Fourth Proportional to 791.75, 1,092.98 and 460.11

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Solution

The fourth proportional to 791.75, 1,092.98 and 460.11 is: 635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.75 : 1,092.98 = 460.11 : x
  2. Step 2: Convert to fraction form
    791.75/1,092.98 = 460.11/x
  3. Step 3: Cross multiply
    791.75x = 1,092.98 × 460.11
  4. Step 4: Simplify right side
    791.75x = 502,888.73
  5. Step 5: Solve for x
    x = 502,888.73/791.75
  6. Step 6: Final answer
    x = 635.17

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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.