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Finding the Fourth Proportional to 611.08, 843.38 and 411.88

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Solution

The fourth proportional to 611.08, 843.38 and 411.88 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.08 : 843.38 = 411.88 : x
  2. Step 2: Convert to fraction form
    611.08/843.38 = 411.88/x
  3. Step 3: Cross multiply
    611.08x = 843.38 × 411.88
  4. Step 4: Simplify right side
    611.08x = 347,371.35
  5. Step 5: Solve for x
    x = 347,371.35/611.08
  6. Step 6: Final answer
    x = 568.45

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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.