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Finding the Fourth Proportional to 791.38, 1,091.80 and 459.69

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Solution

The fourth proportional to 791.38, 1,091.80 and 459.69 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.38 : 1,091.80 = 459.69 : x
  2. Step 2: Convert to fraction form
    791.38/1,091.80 = 459.69/x
  3. Step 3: Cross multiply
    791.38x = 1,091.80 × 459.69
  4. Step 4: Simplify right side
    791.38x = 501,889.54
  5. Step 5: Solve for x
    x = 501,889.54/791.38
  6. Step 6: Final answer
    x = 634.20

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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.