Home / 1,121.42-1,679.85-829.79

Finding the Fourth Proportional to 1,121.42, 1,679.85 and 829.79

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Solution

The fourth proportional to 1,121.42, 1,679.85 and 829.79 is: 1,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.42 : 1,679.85 = 829.79 : x
  2. Step 2: Convert to fraction form
    1,121.42/1,679.85 = 829.79/x
  3. Step 3: Cross multiply
    1,121.42x = 1,679.85 × 829.79
  4. Step 4: Simplify right side
    1,121.42x = 1,393,922.73
  5. Step 5: Solve for x
    x = 1,393,922.73/1,121.42
  6. Step 6: Final answer
    x = 1,243.00

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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.