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Finding the Fourth Proportional to 627.94, 940.02 and 338.50

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Solution

The fourth proportional to 627.94, 940.02 and 338.50 is: 506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.94 : 940.02 = 338.50 : x
  2. Step 2: Convert to fraction form
    627.94/940.02 = 338.50/x
  3. Step 3: Cross multiply
    627.94x = 940.02 × 338.50
  4. Step 4: Simplify right side
    627.94x = 318,196.77
  5. Step 5: Solve for x
    x = 318,196.77/627.94
  6. Step 6: Final answer
    x = 506.73

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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.