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Finding the Fourth Proportional to 681.94, 940.87 and 387.20

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Solution

The fourth proportional to 681.94, 940.87 and 387.20 is: 534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.94 : 940.87 = 387.20 : x
  2. Step 2: Convert to fraction form
    681.94/940.87 = 387.20/x
  3. Step 3: Cross multiply
    681.94x = 940.87 × 387.20
  4. Step 4: Simplify right side
    681.94x = 364,304.86
  5. Step 5: Solve for x
    x = 364,304.86/681.94
  6. Step 6: Final answer
    x = 534.22

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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.