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Finding the Fourth Proportional to 622.67, 934.37 and 252.40

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Solution

The fourth proportional to 622.67, 934.37 and 252.40 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.67 : 934.37 = 252.40 : x
  2. Step 2: Convert to fraction form
    622.67/934.37 = 252.40/x
  3. Step 3: Cross multiply
    622.67x = 934.37 × 252.40
  4. Step 4: Simplify right side
    622.67x = 235,834.09
  5. Step 5: Solve for x
    x = 235,834.09/622.67
  6. Step 6: Final answer
    x = 378.75

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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.