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Finding the Fourth Proportional to 681.63, 940.86 and 419.73

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Solution

The fourth proportional to 681.63, 940.86 and 419.73 is: 579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.63 : 940.86 = 419.73 : x
  2. Step 2: Convert to fraction form
    681.63/940.86 = 419.73/x
  3. Step 3: Cross multiply
    681.63x = 940.86 × 419.73
  4. Step 4: Simplify right side
    681.63x = 394,907.17
  5. Step 5: Solve for x
    x = 394,907.17/681.63
  6. Step 6: Final answer
    x = 579.36

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1.5x scale

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.