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Finding the Fourth Proportional to 682.29, 1,022.79 and 271.68

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Solution

The fourth proportional to 682.29, 1,022.79 and 271.68 is: 407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 1,022.79 = 271.68 : x
  2. Step 2: Convert to fraction form
    682.29/1,022.79 = 271.68/x
  3. Step 3: Cross multiply
    682.29x = 1,022.79 × 271.68
  4. Step 4: Simplify right side
    682.29x = 277,871.59
  5. Step 5: Solve for x
    x = 277,871.59/682.29
  6. Step 6: Final answer
    x = 407.26

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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.