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Finding the Fourth Proportional to 634.62, 950.70 and 310.22

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Solution

The fourth proportional to 634.62, 950.70 and 310.22 is: 464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.62 : 950.70 = 310.22 : x
  2. Step 2: Convert to fraction form
    634.62/950.70 = 310.22/x
  3. Step 3: Cross multiply
    634.62x = 950.70 × 310.22
  4. Step 4: Simplify right side
    634.62x = 294,926.15
  5. Step 5: Solve for x
    x = 294,926.15/634.62
  6. Step 6: Final answer
    x = 464.73

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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.