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Finding the Fourth Proportional to 620.44, 930.25 and 327.63

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Solution

The fourth proportional to 620.44, 930.25 and 327.63 is: 491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.44 : 930.25 = 327.63 : x
  2. Step 2: Convert to fraction form
    620.44/930.25 = 327.63/x
  3. Step 3: Cross multiply
    620.44x = 930.25 × 327.63
  4. Step 4: Simplify right side
    620.44x = 304,777.81
  5. Step 5: Solve for x
    x = 304,777.81/620.44
  6. Step 6: Final answer
    x = 491.23

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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.