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Finding the Fourth Proportional to 552.35, 762.05 and 331.37

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Solution

The fourth proportional to 552.35, 762.05 and 331.37 is: 457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.35 : 762.05 = 331.37 : x
  2. Step 2: Convert to fraction form
    552.35/762.05 = 331.37/x
  3. Step 3: Cross multiply
    552.35x = 762.05 × 331.37
  4. Step 4: Simplify right side
    552.35x = 252,523.24
  5. Step 5: Solve for x
    x = 252,523.24/552.35
  6. Step 6: Final answer
    x = 457.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.