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Finding the Fourth Proportional to 681.07, 939.84 and 382.37

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Solution

The fourth proportional to 681.07, 939.84 and 382.37 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.07 : 939.84 = 382.37 : x
  2. Step 2: Convert to fraction form
    681.07/939.84 = 382.37/x
  3. Step 3: Cross multiply
    681.07x = 939.84 × 382.37
  4. Step 4: Simplify right side
    681.07x = 359,360.49
  5. Step 5: Solve for x
    x = 359,360.49/681.07
  6. Step 6: Final answer
    x = 527.64

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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.