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Finding the Fourth Proportional to 681.50, 1,022.25 and 270.83

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Solution

The fourth proportional to 681.50, 1,022.25 and 270.83 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.50 : 1,022.25 = 270.83 : x
  2. Step 2: Convert to fraction form
    681.50/1,022.25 = 270.83/x
  3. Step 3: Cross multiply
    681.50x = 1,022.25 × 270.83
  4. Step 4: Simplify right side
    681.50x = 276,850.86
  5. Step 5: Solve for x
    x = 276,850.86/681.50
  6. Step 6: Final answer
    x = 406.24

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Double scale
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1.5x scale

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.