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Finding the Fourth Proportional to 2,202.90, 3,305.64 and 817.22

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Solution

The fourth proportional to 2,202.90, 3,305.64 and 817.22 is: 1,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.90 : 3,305.64 = 817.22 : x
  2. Step 2: Convert to fraction form
    2,202.90/3,305.64 = 817.22/x
  3. Step 3: Cross multiply
    2,202.90x = 3,305.64 × 817.22
  4. Step 4: Simplify right side
    2,202.90x = 2,701,418.59
  5. Step 5: Solve for x
    x = 2,701,418.59/2,202.90
  6. Step 6: Final answer
    x = 1,226.30

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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.