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Finding the Fourth Proportional to 622.26, 934.08 and 362.57

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Solution

The fourth proportional to 622.26, 934.08 and 362.57 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 934.08 = 362.57 : x
  2. Step 2: Convert to fraction form
    622.26/934.08 = 362.57/x
  3. Step 3: Cross multiply
    622.26x = 934.08 × 362.57
  4. Step 4: Simplify right side
    622.26x = 338,664.72
  5. Step 5: Solve for x
    x = 338,664.72/622.26
  6. Step 6: Final answer
    x = 544.25

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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.