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Finding the Fourth Proportional to 447.38, 618.28 and 382.58

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Solution

The fourth proportional to 447.38, 618.28 and 382.58 is: 528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.38 : 618.28 = 382.58 : x
  2. Step 2: Convert to fraction form
    447.38/618.28 = 382.58/x
  3. Step 3: Cross multiply
    447.38x = 618.28 × 382.58
  4. Step 4: Simplify right side
    447.38x = 236,541.56
  5. Step 5: Solve for x
    x = 236,541.56/447.38
  6. Step 6: Final answer
    x = 528.73

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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.