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Finding the Fourth Proportional to 480.68, 720.26 and 326.06

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Solution

The fourth proportional to 480.68, 720.26 and 326.06 is: 488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.68 : 720.26 = 326.06 : x
  2. Step 2: Convert to fraction form
    480.68/720.26 = 326.06/x
  3. Step 3: Cross multiply
    480.68x = 720.26 × 326.06
  4. Step 4: Simplify right side
    480.68x = 234,847.98
  5. Step 5: Solve for x
    x = 234,847.98/480.68
  6. Step 6: Final answer
    x = 488.57

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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.