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Finding the Fourth Proportional to 791.36, 1,091.98 and 442

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Solution

The fourth proportional to 791.36, 1,091.98 and 442 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.36 : 1,091.98 = 442 : x
  2. Step 2: Convert to fraction form
    791.36/1,091.98 = 442/x
  3. Step 3: Cross multiply
    791.36x = 1,091.98 × 442
  4. Step 4: Simplify right side
    791.36x = 482,655.16
  5. Step 5: Solve for x
    x = 482,655.16/791.36
  6. Step 6: Final answer
    x = 609.91

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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.