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Finding the Fourth Proportional to 681.91, 941.08 and 419.97

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Solution

The fourth proportional to 681.91, 941.08 and 419.97 is: 579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.91 : 941.08 = 419.97 : x
  2. Step 2: Convert to fraction form
    681.91/941.08 = 419.97/x
  3. Step 3: Cross multiply
    681.91x = 941.08 × 419.97
  4. Step 4: Simplify right side
    681.91x = 395,225.37
  5. Step 5: Solve for x
    x = 395,225.37/681.91
  6. Step 6: Final answer
    x = 579.59

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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.