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Finding the Fourth Proportional to 2,219.92, 3,329.76 and 680.92

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Solution

The fourth proportional to 2,219.92, 3,329.76 and 680.92 is: 1,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.92 : 3,329.76 = 680.92 : x
  2. Step 2: Convert to fraction form
    2,219.92/3,329.76 = 680.92/x
  3. Step 3: Cross multiply
    2,219.92x = 3,329.76 × 680.92
  4. Step 4: Simplify right side
    2,219.92x = 2,267,300.18
  5. Step 5: Solve for x
    x = 2,267,300.18/2,219.92
  6. Step 6: Final answer
    x = 1,021.34

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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.