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Finding the Fourth Proportional to 480.99, 663.87 and 284.49

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Solution

The fourth proportional to 480.99, 663.87 and 284.49 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.99 : 663.87 = 284.49 : x
  2. Step 2: Convert to fraction form
    480.99/663.87 = 284.49/x
  3. Step 3: Cross multiply
    480.99x = 663.87 × 284.49
  4. Step 4: Simplify right side
    480.99x = 188,864.38
  5. Step 5: Solve for x
    x = 188,864.38/480.99
  6. Step 6: Final answer
    x = 392.66

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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.