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Finding the Fourth Proportional to 1,790.25, 2,471.22 and 1,169.25

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Solution

The fourth proportional to 1,790.25, 2,471.22 and 1,169.25 is: 1,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.25 : 2,471.22 = 1,169.25 : x
  2. Step 2: Convert to fraction form
    1,790.25/2,471.22 = 1,169.25/x
  3. Step 3: Cross multiply
    1,790.25x = 2,471.22 × 1,169.25
  4. Step 4: Simplify right side
    1,790.25x = 2,889,473.99
  5. Step 5: Solve for x
    x = 2,889,473.99/1,790.25
  6. Step 6: Final answer
    x = 1,614.01

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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.