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Finding the Fourth Proportional to 791.92, 1,092.90 and 460.42

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Solution

The fourth proportional to 791.92, 1,092.90 and 460.42 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.92 : 1,092.90 = 460.42 : x
  2. Step 2: Convert to fraction form
    791.92/1,092.90 = 460.42/x
  3. Step 3: Cross multiply
    791.92x = 1,092.90 × 460.42
  4. Step 4: Simplify right side
    791.92x = 503,193.02
  5. Step 5: Solve for x
    x = 503,193.02/791.92
  6. Step 6: Final answer
    x = 635.41

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1.5x scale

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.