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Finding the Fourth Proportional to 488.38, 674.01 and 322.96

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Solution

The fourth proportional to 488.38, 674.01 and 322.96 is: 445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.38 : 674.01 = 322.96 : x
  2. Step 2: Convert to fraction form
    488.38/674.01 = 322.96/x
  3. Step 3: Cross multiply
    488.38x = 674.01 × 322.96
  4. Step 4: Simplify right side
    488.38x = 217,678.27
  5. Step 5: Solve for x
    x = 217,678.27/488.38
  6. Step 6: Final answer
    x = 445.71

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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.