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Finding the Fourth Proportional to 2,219.44, 3,328.93 and 758.70

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Solution

The fourth proportional to 2,219.44, 3,328.93 and 758.70 is: 1,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.44 : 3,328.93 = 758.70 : x
  2. Step 2: Convert to fraction form
    2,219.44/3,328.93 = 758.70/x
  3. Step 3: Cross multiply
    2,219.44x = 3,328.93 × 758.70
  4. Step 4: Simplify right side
    2,219.44x = 2,525,659.19
  5. Step 5: Solve for x
    x = 2,525,659.19/2,219.44
  6. Step 6: Final answer
    x = 1,137.97

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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.