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Finding the Fourth Proportional to 2,179.44, 3,269.77 and 719.62

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Solution

The fourth proportional to 2,179.44, 3,269.77 and 719.62 is: 1,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.44 : 3,269.77 = 719.62 : x
  2. Step 2: Convert to fraction form
    2,179.44/3,269.77 = 719.62/x
  3. Step 3: Cross multiply
    2,179.44x = 3,269.77 × 719.62
  4. Step 4: Simplify right side
    2,179.44x = 2,352,981.91
  5. Step 5: Solve for x
    x = 2,352,981.91/2,179.44
  6. Step 6: Final answer
    x = 1,079.63

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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.