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Finding the Fourth Proportional to 627.57, 943.25 and 412.65

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Solution

The fourth proportional to 627.57, 943.25 and 412.65 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.57 : 943.25 = 412.65 : x
  2. Step 2: Convert to fraction form
    627.57/943.25 = 412.65/x
  3. Step 3: Cross multiply
    627.57x = 943.25 × 412.65
  4. Step 4: Simplify right side
    627.57x = 389,230.05
  5. Step 5: Solve for x
    x = 389,230.05/627.57
  6. Step 6: Final answer
    x = 620.22

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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.