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Finding the Fourth Proportional to 2,205.57, 3,309.03 and 744.60

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Solution

The fourth proportional to 2,205.57, 3,309.03 and 744.60 is: 1,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.57 : 3,309.03 = 744.60 : x
  2. Step 2: Convert to fraction form
    2,205.57/3,309.03 = 744.60/x
  3. Step 3: Cross multiply
    2,205.57x = 3,309.03 × 744.60
  4. Step 4: Simplify right side
    2,205.57x = 2,463,903.74
  5. Step 5: Solve for x
    x = 2,463,903.74/2,205.57
  6. Step 6: Final answer
    x = 1,117.13

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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.