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Finding the Fourth Proportional to 480.73, 663.38 and 284.17

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Solution

The fourth proportional to 480.73, 663.38 and 284.17 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.73 : 663.38 = 284.17 : x
  2. Step 2: Convert to fraction form
    480.73/663.38 = 284.17/x
  3. Step 3: Cross multiply
    480.73x = 663.38 × 284.17
  4. Step 4: Simplify right side
    480.73x = 188,507.96
  5. Step 5: Solve for x
    x = 188,507.96/480.73
  6. Step 6: Final answer
    x = 392.13

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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.