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Finding the Fourth Proportional to 627.50, 940.43 and 280.94

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Solution

The fourth proportional to 627.50, 940.43 and 280.94 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 940.43 = 280.94 : x
  2. Step 2: Convert to fraction form
    627.50/940.43 = 280.94/x
  3. Step 3: Cross multiply
    627.50x = 940.43 × 280.94
  4. Step 4: Simplify right side
    627.50x = 264,198.30
  5. Step 5: Solve for x
    x = 264,198.30/627.50
  6. Step 6: Final answer
    x = 421.04

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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.