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Finding the Fourth Proportional to 681.54, 937.68 and 663.30

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Solution

The fourth proportional to 681.54, 937.68 and 663.30 is: 912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.54 : 937.68 = 663.30 : x
  2. Step 2: Convert to fraction form
    681.54/937.68 = 663.30/x
  3. Step 3: Cross multiply
    681.54x = 937.68 × 663.30
  4. Step 4: Simplify right side
    681.54x = 621,963.14
  5. Step 5: Solve for x
    x = 621,963.14/681.54
  6. Step 6: Final answer
    x = 912.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.