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Finding the Fourth Proportional to 1,183.98, 1,633.32 and 791.14

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Solution

The fourth proportional to 1,183.98, 1,633.32 and 791.14 is: 1,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.98 : 1,633.32 = 791.14 : x
  2. Step 2: Convert to fraction form
    1,183.98/1,633.32 = 791.14/x
  3. Step 3: Cross multiply
    1,183.98x = 1,633.32 × 791.14
  4. Step 4: Simplify right side
    1,183.98x = 1,292,184.78
  5. Step 5: Solve for x
    x = 1,292,184.78/1,183.98
  6. Step 6: Final answer
    x = 1,091.39

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Half scale
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Double scale
Find fourth proportional to 1,184.98, 1,634.70 and 792.14
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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.