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Finding the Fourth Proportional to 480.53, 721.37 and 376.73

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Solution

The fourth proportional to 480.53, 721.37 and 376.73 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.53 : 721.37 = 376.73 : x
  2. Step 2: Convert to fraction form
    480.53/721.37 = 376.73/x
  3. Step 3: Cross multiply
    480.53x = 721.37 × 376.73
  4. Step 4: Simplify right side
    480.53x = 271,756.23
  5. Step 5: Solve for x
    x = 271,756.23/480.53
  6. Step 6: Final answer
    x = 565.54

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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.