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Finding the Fourth Proportional to 611.08, 842.72 and 517.73

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Solution

The fourth proportional to 611.08, 842.72 and 517.73 is: 713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.08 : 842.72 = 517.73 : x
  2. Step 2: Convert to fraction form
    611.08/842.72 = 517.73/x
  3. Step 3: Cross multiply
    611.08x = 842.72 × 517.73
  4. Step 4: Simplify right side
    611.08x = 436,294.62
  5. Step 5: Solve for x
    x = 436,294.62/611.08
  6. Step 6: Final answer
    x = 713.98

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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.