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Finding the Fourth Proportional to 486.48, 674.13 and 480.54

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Solution

The fourth proportional to 486.48, 674.13 and 480.54 is: 665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 674.13 = 480.54 : x
  2. Step 2: Convert to fraction form
    486.48/674.13 = 480.54/x
  3. Step 3: Cross multiply
    486.48x = 674.13 × 480.54
  4. Step 4: Simplify right side
    486.48x = 323,946.43
  5. Step 5: Solve for x
    x = 323,946.43/486.48
  6. Step 6: Final answer
    x = 665.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.