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Finding the Fourth Proportional to 2,069.71, 3,105.20 and 664.33

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Solution

The fourth proportional to 2,069.71, 3,105.20 and 664.33 is: 996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.71 : 3,105.20 = 664.33 : x
  2. Step 2: Convert to fraction form
    2,069.71/3,105.20 = 664.33/x
  3. Step 3: Cross multiply
    2,069.71x = 3,105.20 × 664.33
  4. Step 4: Simplify right side
    2,069.71x = 2,062,874.19
  5. Step 5: Solve for x
    x = 2,062,874.19/2,069.71
  6. Step 6: Final answer
    x = 996.70

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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.