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Finding the Fourth Proportional to 681.74, 940.78 and 492.74

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Solution

The fourth proportional to 681.74, 940.78 and 492.74 is: 679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.74 : 940.78 = 492.74 : x
  2. Step 2: Convert to fraction form
    681.74/940.78 = 492.74/x
  3. Step 3: Cross multiply
    681.74x = 940.78 × 492.74
  4. Step 4: Simplify right side
    681.74x = 463,559.94
  5. Step 5: Solve for x
    x = 463,559.94/681.74
  6. Step 6: Final answer
    x = 679.97

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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.