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Finding the Fourth Proportional to 624.62, 936.93 and 191.78

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Solution

The fourth proportional to 624.62, 936.93 and 191.78 is: 287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.62 : 936.93 = 191.78 : x
  2. Step 2: Convert to fraction form
    624.62/936.93 = 191.78/x
  3. Step 3: Cross multiply
    624.62x = 936.93 × 191.78
  4. Step 4: Simplify right side
    624.62x = 179,678.79
  5. Step 5: Solve for x
    x = 179,678.79/624.62
  6. Step 6: Final answer
    x = 287.66

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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.