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Finding the Fourth Proportional to 552.59, 762.30 and 331.49

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Solution

The fourth proportional to 552.59, 762.30 and 331.49 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.59 : 762.30 = 331.49 : x
  2. Step 2: Convert to fraction form
    552.59/762.30 = 331.49/x
  3. Step 3: Cross multiply
    552.59x = 762.30 × 331.49
  4. Step 4: Simplify right side
    552.59x = 252,694.83
  5. Step 5: Solve for x
    x = 252,694.83/552.59
  6. Step 6: Final answer
    x = 457.29

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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.