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Finding the Fourth Proportional to 681.16, 940.28 and 419.28

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Solution

The fourth proportional to 681.16, 940.28 and 419.28 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.16 : 940.28 = 419.28 : x
  2. Step 2: Convert to fraction form
    681.16/940.28 = 419.28/x
  3. Step 3: Cross multiply
    681.16x = 940.28 × 419.28
  4. Step 4: Simplify right side
    681.16x = 394,240.60
  5. Step 5: Solve for x
    x = 394,240.60/681.16
  6. Step 6: Final answer
    x = 578.78

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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.