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Finding the Fourth Proportional to 488.78, 674.80 and 323.48

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Solution

The fourth proportional to 488.78, 674.80 and 323.48 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.78 : 674.80 = 323.48 : x
  2. Step 2: Convert to fraction form
    488.78/674.80 = 323.48/x
  3. Step 3: Cross multiply
    488.78x = 674.80 × 323.48
  4. Step 4: Simplify right side
    488.78x = 218,284.30
  5. Step 5: Solve for x
    x = 218,284.30/488.78
  6. Step 6: Final answer
    x = 446.59

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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.