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Finding the Fourth Proportional to 488.93, 676.23 and 480.73

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Solution

The fourth proportional to 488.93, 676.23 and 480.73 is: 664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.93 : 676.23 = 480.73 : x
  2. Step 2: Convert to fraction form
    488.93/676.23 = 480.73/x
  3. Step 3: Cross multiply
    488.93x = 676.23 × 480.73
  4. Step 4: Simplify right side
    488.93x = 325,080.67
  5. Step 5: Solve for x
    x = 325,080.67/488.93
  6. Step 6: Final answer
    x = 664.88

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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.