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Finding the Fourth Proportional to 536.14, 742.74 and 523.38

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Solution

The fourth proportional to 536.14, 742.74 and 523.38 is: 725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 742.74 = 523.38 : x
  2. Step 2: Convert to fraction form
    536.14/742.74 = 523.38/x
  3. Step 3: Cross multiply
    536.14x = 742.74 × 523.38
  4. Step 4: Simplify right side
    536.14x = 388,731.91
  5. Step 5: Solve for x
    x = 388,731.91/536.14
  6. Step 6: Final answer
    x = 725.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.