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Finding the Fourth Proportional to 480.67, 662.97 and 284.04

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Solution

The fourth proportional to 480.67, 662.97 and 284.04 is: 391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.67 : 662.97 = 284.04 : x
  2. Step 2: Convert to fraction form
    480.67/662.97 = 284.04/x
  3. Step 3: Cross multiply
    480.67x = 662.97 × 284.04
  4. Step 4: Simplify right side
    480.67x = 188,310.00
  5. Step 5: Solve for x
    x = 188,310.00/480.67
  6. Step 6: Final answer
    x = 391.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.