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Finding the Fourth Proportional to 402.74, 603.57 and 331.46

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Solution

The fourth proportional to 402.74, 603.57 and 331.46 is: 496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.74 : 603.57 = 331.46 : x
  2. Step 2: Convert to fraction form
    402.74/603.57 = 331.46/x
  3. Step 3: Cross multiply
    402.74x = 603.57 × 331.46
  4. Step 4: Simplify right side
    402.74x = 200,062.06
  5. Step 5: Solve for x
    x = 200,062.06/402.74
  6. Step 6: Final answer
    x = 496.75

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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.