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Finding the Fourth Proportional to 2,206.78, 3,310.16 and 563.34

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Solution

The fourth proportional to 2,206.78, 3,310.16 and 563.34 is: 845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.78 : 3,310.16 = 563.34 : x
  2. Step 2: Convert to fraction form
    2,206.78/3,310.16 = 563.34/x
  3. Step 3: Cross multiply
    2,206.78x = 3,310.16 × 563.34
  4. Step 4: Simplify right side
    2,206.78x = 1,864,745.53
  5. Step 5: Solve for x
    x = 1,864,745.53/2,206.78
  6. Step 6: Final answer
    x = 845.01

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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.