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Finding the Fourth Proportional to 552.83, 762.94 and 331.90

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Solution

The fourth proportional to 552.83, 762.94 and 331.90 is: 458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.83 : 762.94 = 331.90 : x
  2. Step 2: Convert to fraction form
    552.83/762.94 = 331.90/x
  3. Step 3: Cross multiply
    552.83x = 762.94 × 331.90
  4. Step 4: Simplify right side
    552.83x = 253,219.79
  5. Step 5: Solve for x
    x = 253,219.79/552.83
  6. Step 6: Final answer
    x = 458.04

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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.