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Finding the Fourth Proportional to 681.43, 1,017.13 and 633.28

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Solution

The fourth proportional to 681.43, 1,017.13 and 633.28 is: 945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.43 : 1,017.13 = 633.28 : x
  2. Step 2: Convert to fraction form
    681.43/1,017.13 = 633.28/x
  3. Step 3: Cross multiply
    681.43x = 1,017.13 × 633.28
  4. Step 4: Simplify right side
    681.43x = 644,128.09
  5. Step 5: Solve for x
    x = 644,128.09/681.43
  6. Step 6: Final answer
    x = 945.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.