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Finding the Fourth Proportional to 483.62, 726.84 and 322.43

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Solution

The fourth proportional to 483.62, 726.84 and 322.43 is: 484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 726.84 = 322.43 : x
  2. Step 2: Convert to fraction form
    483.62/726.84 = 322.43/x
  3. Step 3: Cross multiply
    483.62x = 726.84 × 322.43
  4. Step 4: Simplify right side
    483.62x = 234,351.39
  5. Step 5: Solve for x
    x = 234,351.39/483.62
  6. Step 6: Final answer
    x = 484.58

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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.