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Finding the Fourth Proportional to 622.38, 933.57 and 189.53

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Solution

The fourth proportional to 622.38, 933.57 and 189.53 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 933.57 = 189.53 : x
  2. Step 2: Convert to fraction form
    622.38/933.57 = 189.53/x
  3. Step 3: Cross multiply
    622.38x = 933.57 × 189.53
  4. Step 4: Simplify right side
    622.38x = 176,934.85
  5. Step 5: Solve for x
    x = 176,934.85/622.38
  6. Step 6: Final answer
    x = 284.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.