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Finding the Fourth Proportional to 681.81, 940.94 and 383.09

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Solution

The fourth proportional to 681.81, 940.94 and 383.09 is: 528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.81 : 940.94 = 383.09 : x
  2. Step 2: Convert to fraction form
    681.81/940.94 = 383.09/x
  3. Step 3: Cross multiply
    681.81x = 940.94 × 383.09
  4. Step 4: Simplify right side
    681.81x = 360,460.00
  5. Step 5: Solve for x
    x = 360,460.00/681.81
  6. Step 6: Final answer
    x = 528.68

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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.