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Finding the Fourth Proportional to 480.54, 663.06 and 284.07

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Solution

The fourth proportional to 480.54, 663.06 and 284.07 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 663.06 = 284.07 : x
  2. Step 2: Convert to fraction form
    480.54/663.06 = 284.07/x
  3. Step 3: Cross multiply
    480.54x = 663.06 × 284.07
  4. Step 4: Simplify right side
    480.54x = 188,355.45
  5. Step 5: Solve for x
    x = 188,355.45/480.54
  6. Step 6: Final answer
    x = 391.97

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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.