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Finding the Fourth Proportional to 2,205.44, 3,308.07 and 906.88

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Solution

The fourth proportional to 2,205.44, 3,308.07 and 906.88 is: 1,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.44 : 3,308.07 = 906.88 : x
  2. Step 2: Convert to fraction form
    2,205.44/3,308.07 = 906.88/x
  3. Step 3: Cross multiply
    2,205.44x = 3,308.07 × 906.88
  4. Step 4: Simplify right side
    2,205.44x = 3,000,022.52
  5. Step 5: Solve for x
    x = 3,000,022.52/2,205.44
  6. Step 6: Final answer
    x = 1,360.28

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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.