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Finding the Fourth Proportional to 2,226.97, 3,339.43 and 645.33

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Solution

The fourth proportional to 2,226.97, 3,339.43 and 645.33 is: 967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.97 : 3,339.43 = 645.33 : x
  2. Step 2: Convert to fraction form
    2,226.97/3,339.43 = 645.33/x
  3. Step 3: Cross multiply
    2,226.97x = 3,339.43 × 645.33
  4. Step 4: Simplify right side
    2,226.97x = 2,155,014.44
  5. Step 5: Solve for x
    x = 2,155,014.44/2,226.97
  6. Step 6: Final answer
    x = 967.69

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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.