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Finding the Fourth Proportional to 1,199.68, 1,790.78 and 1,111.79

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Solution

The fourth proportional to 1,199.68, 1,790.78 and 1,111.79 is: 1,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.68 : 1,790.78 = 1,111.79 : x
  2. Step 2: Convert to fraction form
    1,199.68/1,790.78 = 1,111.79/x
  3. Step 3: Cross multiply
    1,199.68x = 1,790.78 × 1,111.79
  4. Step 4: Simplify right side
    1,199.68x = 1,990,970.21
  5. Step 5: Solve for x
    x = 1,990,970.21/1,199.68
  6. Step 6: Final answer
    x = 1,659.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.