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Finding the Fourth Proportional to 1,329.94, 1,992.61 and 1,194.67

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Solution

The fourth proportional to 1,329.94, 1,992.61 and 1,194.67 is: 1,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.94 : 1,992.61 = 1,194.67 : x
  2. Step 2: Convert to fraction form
    1,329.94/1,992.61 = 1,194.67/x
  3. Step 3: Cross multiply
    1,329.94x = 1,992.61 × 1,194.67
  4. Step 4: Simplify right side
    1,329.94x = 2,380,511.39
  5. Step 5: Solve for x
    x = 2,380,511.39/1,329.94
  6. Step 6: Final answer
    x = 1,789.94

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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.