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Finding the Fourth Proportional to 2,206.54, 3,309.80 and 563.08

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Solution

The fourth proportional to 2,206.54, 3,309.80 and 563.08 is: 844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.54 : 3,309.80 = 563.08 : x
  2. Step 2: Convert to fraction form
    2,206.54/3,309.80 = 563.08/x
  3. Step 3: Cross multiply
    2,206.54x = 3,309.80 × 563.08
  4. Step 4: Simplify right side
    2,206.54x = 1,863,698.23
  5. Step 5: Solve for x
    x = 1,863,698.23/2,206.54
  6. Step 6: Final answer
    x = 844.63

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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.