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Finding the Fourth Proportional to 455.79, 682.13 and 282.39

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Solution

The fourth proportional to 455.79, 682.13 and 282.39 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.79 : 682.13 = 282.39 : x
  2. Step 2: Convert to fraction form
    455.79/682.13 = 282.39/x
  3. Step 3: Cross multiply
    455.79x = 682.13 × 282.39
  4. Step 4: Simplify right side
    455.79x = 192,625.28
  5. Step 5: Solve for x
    x = 192,625.28/455.79
  6. Step 6: Final answer
    x = 422.62

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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.