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Finding the Fourth Proportional to 523.25, 784.94 and 157.97

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Solution

The fourth proportional to 523.25, 784.94 and 157.97 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 784.94 = 157.97 : x
  2. Step 2: Convert to fraction form
    523.25/784.94 = 157.97/x
  3. Step 3: Cross multiply
    523.25x = 784.94 × 157.97
  4. Step 4: Simplify right side
    523.25x = 123,996.97
  5. Step 5: Solve for x
    x = 123,996.97/523.25
  6. Step 6: Final answer
    x = 236.97

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.