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Finding the Fourth Proportional to 611.31, 844.92 and 480.09

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Solution

The fourth proportional to 611.31, 844.92 and 480.09 is: 663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.31 : 844.92 = 480.09 : x
  2. Step 2: Convert to fraction form
    611.31/844.92 = 480.09/x
  3. Step 3: Cross multiply
    611.31x = 844.92 × 480.09
  4. Step 4: Simplify right side
    611.31x = 405,637.64
  5. Step 5: Solve for x
    x = 405,637.64/611.31
  6. Step 6: Final answer
    x = 663.55

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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.