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Finding the Fourth Proportional to 611.89, 844.90 and 415.94

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Solution

The fourth proportional to 611.89, 844.90 and 415.94 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.89 : 844.90 = 415.94 : x
  2. Step 2: Convert to fraction form
    611.89/844.90 = 415.94/x
  3. Step 3: Cross multiply
    611.89x = 844.90 × 415.94
  4. Step 4: Simplify right side
    611.89x = 351,422.44
  5. Step 5: Solve for x
    x = 351,422.44/611.89
  6. Step 6: Final answer
    x = 574.33

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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.