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Finding the Fourth Proportional to 480.59, 721.23 and 326.67

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Solution

The fourth proportional to 480.59, 721.23 and 326.67 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.59 : 721.23 = 326.67 : x
  2. Step 2: Convert to fraction form
    480.59/721.23 = 326.67/x
  3. Step 3: Cross multiply
    480.59x = 721.23 × 326.67
  4. Step 4: Simplify right side
    480.59x = 235,604.20
  5. Step 5: Solve for x
    x = 235,604.20/480.59
  6. Step 6: Final answer
    x = 490.24

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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.