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Finding the Fourth Proportional to 681.58, 1,022.16 and 248.64

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Solution

The fourth proportional to 681.58, 1,022.16 and 248.64 is: 372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.58 : 1,022.16 = 248.64 : x
  2. Step 2: Convert to fraction form
    681.58/1,022.16 = 248.64/x
  3. Step 3: Cross multiply
    681.58x = 1,022.16 × 248.64
  4. Step 4: Simplify right side
    681.58x = 254,149.86
  5. Step 5: Solve for x
    x = 254,149.86/681.58
  6. Step 6: Final answer
    x = 372.88

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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.