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Finding the Fourth Proportional to 622.27, 933.42 and 499.96

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Solution

The fourth proportional to 622.27, 933.42 and 499.96 is: 749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.27 : 933.42 = 499.96 : x
  2. Step 2: Convert to fraction form
    622.27/933.42 = 499.96/x
  3. Step 3: Cross multiply
    622.27x = 933.42 × 499.96
  4. Step 4: Simplify right side
    622.27x = 466,672.66
  5. Step 5: Solve for x
    x = 466,672.66/622.27
  6. Step 6: Final answer
    x = 749.95

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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.