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Finding the Fourth Proportional to 1,360.81, 1,879.64 and 1,183.42

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Solution

The fourth proportional to 1,360.81, 1,879.64 and 1,183.42 is: 1,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.81 : 1,879.64 = 1,183.42 : x
  2. Step 2: Convert to fraction form
    1,360.81/1,879.64 = 1,183.42/x
  3. Step 3: Cross multiply
    1,360.81x = 1,879.64 × 1,183.42
  4. Step 4: Simplify right side
    1,360.81x = 2,224,403.57
  5. Step 5: Solve for x
    x = 2,224,403.57/1,360.81
  6. Step 6: Final answer
    x = 1,634.62

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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.