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Finding the Fourth Proportional to 481.78, 720.99 and 394.10

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Solution

The fourth proportional to 481.78, 720.99 and 394.10 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.78 : 720.99 = 394.10 : x
  2. Step 2: Convert to fraction form
    481.78/720.99 = 394.10/x
  3. Step 3: Cross multiply
    481.78x = 720.99 × 394.10
  4. Step 4: Simplify right side
    481.78x = 284,142.16
  5. Step 5: Solve for x
    x = 284,142.16/481.78
  6. Step 6: Final answer
    x = 589.78

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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.