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Finding the Fourth Proportional to 552.71, 762.77 and 331.79

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Solution

The fourth proportional to 552.71, 762.77 and 331.79 is: 457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.71 : 762.77 = 331.79 : x
  2. Step 2: Convert to fraction form
    552.71/762.77 = 331.79/x
  3. Step 3: Cross multiply
    552.71x = 762.77 × 331.79
  4. Step 4: Simplify right side
    552.71x = 253,073.99
  5. Step 5: Solve for x
    x = 253,073.99/552.71
  6. Step 6: Final answer
    x = 457.88

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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.