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Finding the Fourth Proportional to 627.50, 940.61 and 302.69

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Solution

The fourth proportional to 627.50, 940.61 and 302.69 is: 453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 940.61 = 302.69 : x
  2. Step 2: Convert to fraction form
    627.50/940.61 = 302.69/x
  3. Step 3: Cross multiply
    627.50x = 940.61 × 302.69
  4. Step 4: Simplify right side
    627.50x = 284,716.35
  5. Step 5: Solve for x
    x = 284,716.35/627.50
  6. Step 6: Final answer
    x = 453.73

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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.