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Finding the Fourth Proportional to 611.72, 844.26 and 378.92

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Solution

The fourth proportional to 611.72, 844.26 and 378.92 is: 522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.72 : 844.26 = 378.92 : x
  2. Step 2: Convert to fraction form
    611.72/844.26 = 378.92/x
  3. Step 3: Cross multiply
    611.72x = 844.26 × 378.92
  4. Step 4: Simplify right side
    611.72x = 319,907.00
  5. Step 5: Solve for x
    x = 319,907.00/611.72
  6. Step 6: Final answer
    x = 522.96

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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.