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Finding the Fourth Proportional to 624.78, 937.26 and 191.84

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Solution

The fourth proportional to 624.78, 937.26 and 191.84 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 937.26 = 191.84 : x
  2. Step 2: Convert to fraction form
    624.78/937.26 = 191.84/x
  3. Step 3: Cross multiply
    624.78x = 937.26 × 191.84
  4. Step 4: Simplify right side
    624.78x = 179,799.27
  5. Step 5: Solve for x
    x = 179,799.27/624.78
  6. Step 6: Final answer
    x = 287.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.