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Finding the Fourth Proportional to 791.19, 1,092.25 and 496.76

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Solution

The fourth proportional to 791.19, 1,092.25 and 496.76 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.19 : 1,092.25 = 496.76 : x
  2. Step 2: Convert to fraction form
    791.19/1,092.25 = 496.76/x
  3. Step 3: Cross multiply
    791.19x = 1,092.25 × 496.76
  4. Step 4: Simplify right side
    791.19x = 542,578.16
  5. Step 5: Solve for x
    x = 542,578.16/791.19
  6. Step 6: Final answer
    x = 685.77

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Half scale
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Double scale
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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.