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Finding the Fourth Proportional to 611.74, 842.97 and 436.78

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Solution

The fourth proportional to 611.74, 842.97 and 436.78 is: 601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 842.97 = 436.78 : x
  2. Step 2: Convert to fraction form
    611.74/842.97 = 436.78/x
  3. Step 3: Cross multiply
    611.74x = 842.97 × 436.78
  4. Step 4: Simplify right side
    611.74x = 368,192.44
  5. Step 5: Solve for x
    x = 368,192.44/611.74
  6. Step 6: Final answer
    x = 601.88

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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.