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Finding the Fourth Proportional to 630.38, 943.82 and 321.57

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Solution

The fourth proportional to 630.38, 943.82 and 321.57 is: 481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.38 : 943.82 = 321.57 : x
  2. Step 2: Convert to fraction form
    630.38/943.82 = 321.57/x
  3. Step 3: Cross multiply
    630.38x = 943.82 × 321.57
  4. Step 4: Simplify right side
    630.38x = 303,503.80
  5. Step 5: Solve for x
    x = 303,503.80/630.38
  6. Step 6: Final answer
    x = 481.46

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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.