Home / 2,206.69-3,309.97-563.23

Finding the Fourth Proportional to 2,206.69, 3,309.97 and 563.23

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Solution

The fourth proportional to 2,206.69, 3,309.97 and 563.23 is: 844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.69 : 3,309.97 = 563.23 : x
  2. Step 2: Convert to fraction form
    2,206.69/3,309.97 = 563.23/x
  3. Step 3: Cross multiply
    2,206.69x = 3,309.97 × 563.23
  4. Step 4: Simplify right side
    2,206.69x = 1,864,271.59
  5. Step 5: Solve for x
    x = 1,864,271.59/2,206.69
  6. Step 6: Final answer
    x = 844.83

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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.