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Finding the Fourth Proportional to 681.13, 933.81 and 668.82

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Solution

The fourth proportional to 681.13, 933.81 and 668.82 is: 916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.13 : 933.81 = 668.82 : x
  2. Step 2: Convert to fraction form
    681.13/933.81 = 668.82/x
  3. Step 3: Cross multiply
    681.13x = 933.81 × 668.82
  4. Step 4: Simplify right side
    681.13x = 624,555.56
  5. Step 5: Solve for x
    x = 624,555.56/681.13
  6. Step 6: Final answer
    x = 916.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.