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Finding the Fourth Proportional to 627.67, 940.78 and 338.50

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Solution

The fourth proportional to 627.67, 940.78 and 338.50 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.67 : 940.78 = 338.50 : x
  2. Step 2: Convert to fraction form
    627.67/940.78 = 338.50/x
  3. Step 3: Cross multiply
    627.67x = 940.78 × 338.50
  4. Step 4: Simplify right side
    627.67x = 318,454.03
  5. Step 5: Solve for x
    x = 318,454.03/627.67
  6. Step 6: Final answer
    x = 507.36

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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.