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Finding the Fourth Proportional to 622.23, 933.28 and 275.57

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Solution

The fourth proportional to 622.23, 933.28 and 275.57 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.23 : 933.28 = 275.57 : x
  2. Step 2: Convert to fraction form
    622.23/933.28 = 275.57/x
  3. Step 3: Cross multiply
    622.23x = 933.28 × 275.57
  4. Step 4: Simplify right side
    622.23x = 257,183.97
  5. Step 5: Solve for x
    x = 257,183.97/622.23
  6. Step 6: Final answer
    x = 413.33

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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.