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Finding the Fourth Proportional to 620.75, 930.63 and 327.92

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Solution

The fourth proportional to 620.75, 930.63 and 327.92 is: 491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.75 : 930.63 = 327.92 : x
  2. Step 2: Convert to fraction form
    620.75/930.63 = 327.92/x
  3. Step 3: Cross multiply
    620.75x = 930.63 × 327.92
  4. Step 4: Simplify right side
    620.75x = 305,172.19
  5. Step 5: Solve for x
    x = 305,172.19/620.75
  6. Step 6: Final answer
    x = 491.62

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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.