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Finding the Fourth Proportional to 655.91, 905.47 and 443.27

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Solution

The fourth proportional to 655.91, 905.47 and 443.27 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.91 : 905.47 = 443.27 : x
  2. Step 2: Convert to fraction form
    655.91/905.47 = 443.27/x
  3. Step 3: Cross multiply
    655.91x = 905.47 × 443.27
  4. Step 4: Simplify right side
    655.91x = 401,365.47
  5. Step 5: Solve for x
    x = 401,365.47/655.91
  6. Step 6: Final answer
    x = 611.93

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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.