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Finding the Fourth Proportional to 662.58, 991.85 and 454.82

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Solution

The fourth proportional to 662.58, 991.85 and 454.82 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 991.85 = 454.82 : x
  2. Step 2: Convert to fraction form
    662.58/991.85 = 454.82/x
  3. Step 3: Cross multiply
    662.58x = 991.85 × 454.82
  4. Step 4: Simplify right side
    662.58x = 451,105.98
  5. Step 5: Solve for x
    x = 451,105.98/662.58
  6. Step 6: Final answer
    x = 680.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.