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Finding the Fourth Proportional to 1,336.12, 1,843.72 and 804.92

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Solution

The fourth proportional to 1,336.12, 1,843.72 and 804.92 is: 1,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.12 : 1,843.72 = 804.92 : x
  2. Step 2: Convert to fraction form
    1,336.12/1,843.72 = 804.92/x
  3. Step 3: Cross multiply
    1,336.12x = 1,843.72 × 804.92
  4. Step 4: Simplify right side
    1,336.12x = 1,484,047.10
  5. Step 5: Solve for x
    x = 1,484,047.10/1,336.12
  6. Step 6: Final answer
    x = 1,110.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.