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Finding the Fourth Proportional to 2,266.40, 3,399.66 and 622.97

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Solution

The fourth proportional to 2,266.40, 3,399.66 and 622.97 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.40 : 3,399.66 = 622.97 : x
  2. Step 2: Convert to fraction form
    2,266.40/3,399.66 = 622.97/x
  3. Step 3: Cross multiply
    2,266.40x = 3,399.66 × 622.97
  4. Step 4: Simplify right side
    2,266.40x = 2,117,869.19
  5. Step 5: Solve for x
    x = 2,117,869.19/2,266.40
  6. Step 6: Final answer
    x = 934.47

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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.