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Finding the Fourth Proportional to 552.68, 762.64 and 331.64

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Solution

The fourth proportional to 552.68, 762.64 and 331.64 is: 457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 762.64 = 331.64 : x
  2. Step 2: Convert to fraction form
    552.68/762.64 = 331.64/x
  3. Step 3: Cross multiply
    552.68x = 762.64 × 331.64
  4. Step 4: Simplify right side
    552.68x = 252,921.93
  5. Step 5: Solve for x
    x = 252,921.93/552.68
  6. Step 6: Final answer
    x = 457.63

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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.