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Finding the Fourth Proportional to 791.58, 1,092.41 and 442.27

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Solution

The fourth proportional to 791.58, 1,092.41 and 442.27 is: 610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.58 : 1,092.41 = 442.27 : x
  2. Step 2: Convert to fraction form
    791.58/1,092.41 = 442.27/x
  3. Step 3: Cross multiply
    791.58x = 1,092.41 × 442.27
  4. Step 4: Simplify right side
    791.58x = 483,140.98
  5. Step 5: Solve for x
    x = 483,140.98/791.58
  6. Step 6: Final answer
    x = 610.35

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