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Finding the Fourth Proportional to 624.30, 936.73 and 327.75

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Solution

The fourth proportional to 624.30, 936.73 and 327.75 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 936.73 = 327.75 : x
  2. Step 2: Convert to fraction form
    624.30/936.73 = 327.75/x
  3. Step 3: Cross multiply
    624.30x = 936.73 × 327.75
  4. Step 4: Simplify right side
    624.30x = 307,010.15
  5. Step 5: Solve for x
    x = 307,010.15/624.30
  6. Step 6: Final answer
    x = 491.77

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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.