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Finding the Fourth Proportional to 681.37, 939.95 and 419.29

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Solution

The fourth proportional to 681.37, 939.95 and 419.29 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.37 : 939.95 = 419.29 : x
  2. Step 2: Convert to fraction form
    681.37/939.95 = 419.29/x
  3. Step 3: Cross multiply
    681.37x = 939.95 × 419.29
  4. Step 4: Simplify right side
    681.37x = 394,106.94
  5. Step 5: Solve for x
    x = 394,106.94/681.37
  6. Step 6: Final answer
    x = 578.41

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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.