Home / 682.15-1,022.80-271.11

Finding the Fourth Proportional to 682.15, 1,022.80 and 271.11

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Solution

The fourth proportional to 682.15, 1,022.80 and 271.11 is: 406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.15 : 1,022.80 = 271.11 : x
  2. Step 2: Convert to fraction form
    682.15/1,022.80 = 271.11/x
  3. Step 3: Cross multiply
    682.15x = 1,022.80 × 271.11
  4. Step 4: Simplify right side
    682.15x = 277,291.31
  5. Step 5: Solve for x
    x = 277,291.31/682.15
  6. Step 6: Final answer
    x = 406.50

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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.