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Finding the Fourth Proportional to 484.42, 726.64 and 323.24

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Solution

The fourth proportional to 484.42, 726.64 and 323.24 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 726.64 = 323.24 : x
  2. Step 2: Convert to fraction form
    484.42/726.64 = 323.24/x
  3. Step 3: Cross multiply
    484.42x = 726.64 × 323.24
  4. Step 4: Simplify right side
    484.42x = 234,879.11
  5. Step 5: Solve for x
    x = 234,879.11/484.42
  6. Step 6: Final answer
    x = 484.87

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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.