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Finding the Fourth Proportional to 724.43, 1,084.82 and 622.37

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Solution

The fourth proportional to 724.43, 1,084.82 and 622.37 is: 931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.43 : 1,084.82 = 622.37 : x
  2. Step 2: Convert to fraction form
    724.43/1,084.82 = 622.37/x
  3. Step 3: Cross multiply
    724.43x = 1,084.82 × 622.37
  4. Step 4: Simplify right side
    724.43x = 675,150.89
  5. Step 5: Solve for x
    x = 675,150.89/724.43
  6. Step 6: Final answer
    x = 931.98

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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.