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Finding the Fourth Proportional to 415.62, 619.11 and 394.56

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Solution

The fourth proportional to 415.62, 619.11 and 394.56 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.62 : 619.11 = 394.56 : x
  2. Step 2: Convert to fraction form
    415.62/619.11 = 394.56/x
  3. Step 3: Cross multiply
    415.62x = 619.11 × 394.56
  4. Step 4: Simplify right side
    415.62x = 244,276.04
  5. Step 5: Solve for x
    x = 244,276.04/415.62
  6. Step 6: Final answer
    x = 587.74

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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.