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Finding the Fourth Proportional to 622.39, 933.68 and 205.79

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Solution

The fourth proportional to 622.39, 933.68 and 205.79 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.39 : 933.68 = 205.79 : x
  2. Step 2: Convert to fraction form
    622.39/933.68 = 205.79/x
  3. Step 3: Cross multiply
    622.39x = 933.68 × 205.79
  4. Step 4: Simplify right side
    622.39x = 192,142.01
  5. Step 5: Solve for x
    x = 192,142.01/622.39
  6. Step 6: Final answer
    x = 308.72

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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.