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Finding the Fourth Proportional to 2,218.58, 3,328.36 and 758.70

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Solution

The fourth proportional to 2,218.58, 3,328.36 and 758.70 is: 1,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.58 : 3,328.36 = 758.70 : x
  2. Step 2: Convert to fraction form
    2,218.58/3,328.36 = 758.70/x
  3. Step 3: Cross multiply
    2,218.58x = 3,328.36 × 758.70
  4. Step 4: Simplify right side
    2,218.58x = 2,525,226.73
  5. Step 5: Solve for x
    x = 2,525,226.73/2,218.58
  6. Step 6: Final answer
    x = 1,138.22

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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.