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Finding the Fourth Proportional to 1,191.88, 1,777.25 and 1,112.44

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Solution

The fourth proportional to 1,191.88, 1,777.25 and 1,112.44 is: 1,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.88 : 1,777.25 = 1,112.44 : x
  2. Step 2: Convert to fraction form
    1,191.88/1,777.25 = 1,112.44/x
  3. Step 3: Cross multiply
    1,191.88x = 1,777.25 × 1,112.44
  4. Step 4: Simplify right side
    1,191.88x = 1,977,083.99
  5. Step 5: Solve for x
    x = 1,977,083.99/1,191.88
  6. Step 6: Final answer
    x = 1,658.79

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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.