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Finding the Fourth Proportional to 791.81, 1,092.71 and 442.50

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Solution

The fourth proportional to 791.81, 1,092.71 and 442.50 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.81 : 1,092.71 = 442.50 : x
  2. Step 2: Convert to fraction form
    791.81/1,092.71 = 442.50/x
  3. Step 3: Cross multiply
    791.81x = 1,092.71 × 442.50
  4. Step 4: Simplify right side
    791.81x = 483,525.28
  5. Step 5: Solve for x
    x = 483,525.28/791.81
  6. Step 6: Final answer
    x = 610.66

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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.