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Finding the Fourth Proportional to 681.48, 940.82 and 494.64

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Solution

The fourth proportional to 681.48, 940.82 and 494.64 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 940.82 = 494.64 : x
  2. Step 2: Convert to fraction form
    681.48/940.82 = 494.64/x
  3. Step 3: Cross multiply
    681.48x = 940.82 × 494.64
  4. Step 4: Simplify right side
    681.48x = 465,364.73
  5. Step 5: Solve for x
    x = 465,364.73/681.48
  6. Step 6: Final answer
    x = 682.87

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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.