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Finding the Fourth Proportional to 633.69, 949.86 and 325.22

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Solution

The fourth proportional to 633.69, 949.86 and 325.22 is: 487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.69 : 949.86 = 325.22 : x
  2. Step 2: Convert to fraction form
    633.69/949.86 = 325.22/x
  3. Step 3: Cross multiply
    633.69x = 949.86 × 325.22
  4. Step 4: Simplify right side
    633.69x = 308,908.72
  5. Step 5: Solve for x
    x = 308,908.72/633.69
  6. Step 6: Final answer
    x = 487.48

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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.