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Finding the Fourth Proportional to 1,193.89, 1,786.93 and 1,080.22

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Solution

The fourth proportional to 1,193.89, 1,786.93 and 1,080.22 is: 1,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.89 : 1,786.93 = 1,080.22 : x
  2. Step 2: Convert to fraction form
    1,193.89/1,786.93 = 1,080.22/x
  3. Step 3: Cross multiply
    1,193.89x = 1,786.93 × 1,080.22
  4. Step 4: Simplify right side
    1,193.89x = 1,930,277.52
  5. Step 5: Solve for x
    x = 1,930,277.52/1,193.89
  6. Step 6: Final answer
    x = 1,616.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.