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Finding the Fourth Proportional to 2,266.24, 3,398.99 and 622.40

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Solution

The fourth proportional to 2,266.24, 3,398.99 and 622.40 is: 933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.24 : 3,398.99 = 622.40 : x
  2. Step 2: Convert to fraction form
    2,266.24/3,398.99 = 622.40/x
  3. Step 3: Cross multiply
    2,266.24x = 3,398.99 × 622.40
  4. Step 4: Simplify right side
    2,266.24x = 2,115,531.38
  5. Step 5: Solve for x
    x = 2,115,531.38/2,266.24
  6. Step 6: Final answer
    x = 933.50

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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.