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Finding the Fourth Proportional to 1,111.97, 1,667.79 and 699.85

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Solution

The fourth proportional to 1,111.97, 1,667.79 and 699.85 is: 1,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.97 : 1,667.79 = 699.85 : x
  2. Step 2: Convert to fraction form
    1,111.97/1,667.79 = 699.85/x
  3. Step 3: Cross multiply
    1,111.97x = 1,667.79 × 699.85
  4. Step 4: Simplify right side
    1,111.97x = 1,167,204.92
  5. Step 5: Solve for x
    x = 1,167,204.92/1,111.97
  6. Step 6: Final answer
    x = 1,049.67

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