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Finding the Fourth Proportional to 2,206.53, 3,309.78 and 563.19

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Solution

The fourth proportional to 2,206.53, 3,309.78 and 563.19 is: 844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.53 : 3,309.78 = 563.19 : x
  2. Step 2: Convert to fraction form
    2,206.53/3,309.78 = 563.19/x
  3. Step 3: Cross multiply
    2,206.53x = 3,309.78 × 563.19
  4. Step 4: Simplify right side
    2,206.53x = 1,864,035.00
  5. Step 5: Solve for x
    x = 1,864,035.00/2,206.53
  6. Step 6: Final answer
    x = 844.78

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1.5x scale

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.