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Finding the Fourth Proportional to 681.02, 1,020.92 and 392.25

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Solution

The fourth proportional to 681.02, 1,020.92 and 392.25 is: 588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.02 : 1,020.92 = 392.25 : x
  2. Step 2: Convert to fraction form
    681.02/1,020.92 = 392.25/x
  3. Step 3: Cross multiply
    681.02x = 1,020.92 × 392.25
  4. Step 4: Simplify right side
    681.02x = 400,453.91
  5. Step 5: Solve for x
    x = 400,453.91/681.02
  6. Step 6: Final answer
    x = 588.03

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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.