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Finding the Fourth Proportional to 682.70, 1,022.51 and 451.27

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Solution

The fourth proportional to 682.70, 1,022.51 and 451.27 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.70 : 1,022.51 = 451.27 : x
  2. Step 2: Convert to fraction form
    682.70/1,022.51 = 451.27/x
  3. Step 3: Cross multiply
    682.70x = 1,022.51 × 451.27
  4. Step 4: Simplify right side
    682.70x = 461,420.72
  5. Step 5: Solve for x
    x = 461,420.72/682.70
  6. Step 6: Final answer
    x = 675.88

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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.