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Finding the Fourth Proportional to 681.47, 940.36 and 419.49

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Solution

The fourth proportional to 681.47, 940.36 and 419.49 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.47 : 940.36 = 419.49 : x
  2. Step 2: Convert to fraction form
    681.47/940.36 = 419.49/x
  3. Step 3: Cross multiply
    681.47x = 940.36 × 419.49
  4. Step 4: Simplify right side
    681.47x = 394,471.62
  5. Step 5: Solve for x
    x = 394,471.62/681.47
  6. Step 6: Final answer
    x = 578.85

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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.