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Finding the Fourth Proportional to 415.38, 618.78 and 394.32

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Solution

The fourth proportional to 415.38, 618.78 and 394.32 is: 587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 618.78 = 394.32 : x
  2. Step 2: Convert to fraction form
    415.38/618.78 = 394.32/x
  3. Step 3: Cross multiply
    415.38x = 618.78 × 394.32
  4. Step 4: Simplify right side
    415.38x = 243,997.33
  5. Step 5: Solve for x
    x = 243,997.33/415.38
  6. Step 6: Final answer
    x = 587.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.