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Finding the Fourth Proportional to 627.13, 940.89 and 280.75

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Solution

The fourth proportional to 627.13, 940.89 and 280.75 is: 421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.13 : 940.89 = 280.75 : x
  2. Step 2: Convert to fraction form
    627.13/940.89 = 280.75/x
  3. Step 3: Cross multiply
    627.13x = 940.89 × 280.75
  4. Step 4: Simplify right side
    627.13x = 264,153.46
  5. Step 5: Solve for x
    x = 264,153.46/627.13
  6. Step 6: Final answer
    x = 421.21

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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.