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Finding the Fourth Proportional to 481.68, 723.71 and 308.42

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Solution

The fourth proportional to 481.68, 723.71 and 308.42 is: 463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 723.71 = 308.42 : x
  2. Step 2: Convert to fraction form
    481.68/723.71 = 308.42/x
  3. Step 3: Cross multiply
    481.68x = 723.71 × 308.42
  4. Step 4: Simplify right side
    481.68x = 223,209.22
  5. Step 5: Solve for x
    x = 223,209.22/481.68
  6. Step 6: Final answer
    x = 463.40

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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.