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Finding the Fourth Proportional to 681.77, 1,022.82 and 219.60

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Solution

The fourth proportional to 681.77, 1,022.82 and 219.60 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.77 : 1,022.82 = 219.60 : x
  2. Step 2: Convert to fraction form
    681.77/1,022.82 = 219.60/x
  3. Step 3: Cross multiply
    681.77x = 1,022.82 × 219.60
  4. Step 4: Simplify right side
    681.77x = 224,606.71
  5. Step 5: Solve for x
    x = 224,606.71/681.77
  6. Step 6: Final answer
    x = 329.45

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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.