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Finding the Fourth Proportional to 2,239.96, 3,359.95 and 779.11

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Solution

The fourth proportional to 2,239.96, 3,359.95 and 779.11 is: 1,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.96 : 3,359.95 = 779.11 : x
  2. Step 2: Convert to fraction form
    2,239.96/3,359.95 = 779.11/x
  3. Step 3: Cross multiply
    2,239.96x = 3,359.95 × 779.11
  4. Step 4: Simplify right side
    2,239.96x = 2,617,770.64
  5. Step 5: Solve for x
    x = 2,617,770.64/2,239.96
  6. Step 6: Final answer
    x = 1,168.67

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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.