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Finding the Fourth Proportional to 681.72, 1,017.67 and 633.53

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Solution

The fourth proportional to 681.72, 1,017.67 and 633.53 is: 945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.72 : 1,017.67 = 633.53 : x
  2. Step 2: Convert to fraction form
    681.72/1,017.67 = 633.53/x
  3. Step 3: Cross multiply
    681.72x = 1,017.67 × 633.53
  4. Step 4: Simplify right side
    681.72x = 644,724.48
  5. Step 5: Solve for x
    x = 644,724.48/681.72
  6. Step 6: Final answer
    x = 945.73

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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.