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Finding the Fourth Proportional to 662.52, 994.38 and 622.83

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Solution

The fourth proportional to 662.52, 994.38 and 622.83 is: 934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.52 : 994.38 = 622.83 : x
  2. Step 2: Convert to fraction form
    662.52/994.38 = 622.83/x
  3. Step 3: Cross multiply
    662.52x = 994.38 × 622.83
  4. Step 4: Simplify right side
    662.52x = 619,329.70
  5. Step 5: Solve for x
    x = 619,329.70/662.52
  6. Step 6: Final answer
    x = 934.81

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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.