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Finding the Fourth Proportional to 681.43, 1,020.51 and 391.99

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Solution

The fourth proportional to 681.43, 1,020.51 and 391.99 is: 587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.43 : 1,020.51 = 391.99 : x
  2. Step 2: Convert to fraction form
    681.43/1,020.51 = 391.99/x
  3. Step 3: Cross multiply
    681.43x = 1,020.51 × 391.99
  4. Step 4: Simplify right side
    681.43x = 400,029.71
  5. Step 5: Solve for x
    x = 400,029.71/681.43
  6. Step 6: Final answer
    x = 587.04

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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.