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Finding the Fourth Proportional to 681.94, 941.17 and 416.33

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Solution

The fourth proportional to 681.94, 941.17 and 416.33 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.94 : 941.17 = 416.33 : x
  2. Step 2: Convert to fraction form
    681.94/941.17 = 416.33/x
  3. Step 3: Cross multiply
    681.94x = 941.17 × 416.33
  4. Step 4: Simplify right side
    681.94x = 391,830.52
  5. Step 5: Solve for x
    x = 391,830.52/681.94
  6. Step 6: Final answer
    x = 574.58

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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.