Home / 2,205.24-3,307.94-724.49

Finding the Fourth Proportional to 2,205.24, 3,307.94 and 724.49

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Solution

The fourth proportional to 2,205.24, 3,307.94 and 724.49 is: 1,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.24 : 3,307.94 = 724.49 : x
  2. Step 2: Convert to fraction form
    2,205.24/3,307.94 = 724.49/x
  3. Step 3: Cross multiply
    2,205.24x = 3,307.94 × 724.49
  4. Step 4: Simplify right side
    2,205.24x = 2,396,583.02
  5. Step 5: Solve for x
    x = 2,396,583.02/2,205.24
  6. Step 6: Final answer
    x = 1,086.77

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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.