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Finding the Fourth Proportional to 611.22, 843.64 and 512.82

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Solution

The fourth proportional to 611.22, 843.64 and 512.82 is: 707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 843.64 = 512.82 : x
  2. Step 2: Convert to fraction form
    611.22/843.64 = 512.82/x
  3. Step 3: Cross multiply
    611.22x = 843.64 × 512.82
  4. Step 4: Simplify right side
    611.22x = 432,635.46
  5. Step 5: Solve for x
    x = 432,635.46/611.22
  6. Step 6: Final answer
    x = 707.82

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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.