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Finding the Fourth Proportional to 602.33, 902.05 and 327.74

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Solution

The fourth proportional to 602.33, 902.05 and 327.74 is: 490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.33 : 902.05 = 327.74 : x
  2. Step 2: Convert to fraction form
    602.33/902.05 = 327.74/x
  3. Step 3: Cross multiply
    602.33x = 902.05 × 327.74
  4. Step 4: Simplify right side
    602.33x = 295,632.54
  5. Step 5: Solve for x
    x = 295,632.54/602.33
  6. Step 6: Final answer
    x = 490.82

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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.