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Finding the Fourth Proportional to 627.34, 940.96 and 280.71

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Solution

The fourth proportional to 627.34, 940.96 and 280.71 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.34 : 940.96 = 280.71 : x
  2. Step 2: Convert to fraction form
    627.34/940.96 = 280.71/x
  3. Step 3: Cross multiply
    627.34x = 940.96 × 280.71
  4. Step 4: Simplify right side
    627.34x = 264,136.88
  5. Step 5: Solve for x
    x = 264,136.88/627.34
  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.