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Finding the Fourth Proportional to 480.49, 720.36 and 442.05

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Solution

The fourth proportional to 480.49, 720.36 and 442.05 is: 662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.49 : 720.36 = 442.05 : x
  2. Step 2: Convert to fraction form
    480.49/720.36 = 442.05/x
  3. Step 3: Cross multiply
    480.49x = 720.36 × 442.05
  4. Step 4: Simplify right side
    480.49x = 318,435.14
  5. Step 5: Solve for x
    x = 318,435.14/480.49
  6. Step 6: Final answer
    x = 662.73

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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.