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Finding the Fourth Proportional to 552.49, 762.44 and 331.45

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Solution

The fourth proportional to 552.49, 762.44 and 331.45 is: 457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 762.44 = 331.45 : x
  2. Step 2: Convert to fraction form
    552.49/762.44 = 331.45/x
  3. Step 3: Cross multiply
    552.49x = 762.44 × 331.45
  4. Step 4: Simplify right side
    552.49x = 252,710.74
  5. Step 5: Solve for x
    x = 252,710.74/552.49
  6. Step 6: Final answer
    x = 457.40

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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.