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Finding the Fourth Proportional to 611.74, 843.45 and 523.06

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Solution

The fourth proportional to 611.74, 843.45 and 523.06 is: 721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 843.45 = 523.06 : x
  2. Step 2: Convert to fraction form
    611.74/843.45 = 523.06/x
  3. Step 3: Cross multiply
    611.74x = 843.45 × 523.06
  4. Step 4: Simplify right side
    611.74x = 441,174.96
  5. Step 5: Solve for x
    x = 441,174.96/611.74
  6. Step 6: Final answer
    x = 721.18

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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.