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Finding the Fourth Proportional to 629.62, 945.01 and 321.69

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Solution

The fourth proportional to 629.62, 945.01 and 321.69 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 945.01 = 321.69 : x
  2. Step 2: Convert to fraction form
    629.62/945.01 = 321.69/x
  3. Step 3: Cross multiply
    629.62x = 945.01 × 321.69
  4. Step 4: Simplify right side
    629.62x = 304,000.27
  5. Step 5: Solve for x
    x = 304,000.27/629.62
  6. Step 6: Final answer
    x = 482.83

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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.