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Finding the Fourth Proportional to 681.88, 1,022.06 and 422.07

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Solution

The fourth proportional to 681.88, 1,022.06 and 422.07 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.88 : 1,022.06 = 422.07 : x
  2. Step 2: Convert to fraction form
    681.88/1,022.06 = 422.07/x
  3. Step 3: Cross multiply
    681.88x = 1,022.06 × 422.07
  4. Step 4: Simplify right side
    681.88x = 431,378.75
  5. Step 5: Solve for x
    x = 431,378.75/681.88
  6. Step 6: Final answer
    x = 632.63

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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.