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Finding the Fourth Proportional to 791.98, 1,188.51 and 381.22

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Solution

The fourth proportional to 791.98, 1,188.51 and 381.22 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.98 : 1,188.51 = 381.22 : x
  2. Step 2: Convert to fraction form
    791.98/1,188.51 = 381.22/x
  3. Step 3: Cross multiply
    791.98x = 1,188.51 × 381.22
  4. Step 4: Simplify right side
    791.98x = 453,083.78
  5. Step 5: Solve for x
    x = 453,083.78/791.98
  6. Step 6: Final answer
    x = 572.09

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.