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Finding the Fourth Proportional to 484.62, 728.34 and 323.43

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Solution

The fourth proportional to 484.62, 728.34 and 323.43 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.62 : 728.34 = 323.43 : x
  2. Step 2: Convert to fraction form
    484.62/728.34 = 323.43/x
  3. Step 3: Cross multiply
    484.62x = 728.34 × 323.43
  4. Step 4: Simplify right side
    484.62x = 235,567.01
  5. Step 5: Solve for x
    x = 235,567.01/484.62
  6. Step 6: Final answer
    x = 486.09

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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.