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Finding the Fourth Proportional to 455.98, 682.87 and 282.17

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Solution

The fourth proportional to 455.98, 682.87 and 282.17 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.98 : 682.87 = 282.17 : x
  2. Step 2: Convert to fraction form
    455.98/682.87 = 282.17/x
  3. Step 3: Cross multiply
    455.98x = 682.87 × 282.17
  4. Step 4: Simplify right side
    455.98x = 192,685.43
  5. Step 5: Solve for x
    x = 192,685.43/455.98
  6. Step 6: Final answer
    x = 422.57

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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.