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Finding the Fourth Proportional to 782.22, 1,171.62 and 562.44

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Solution

The fourth proportional to 782.22, 1,171.62 and 562.44 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.22 : 1,171.62 = 562.44 : x
  2. Step 2: Convert to fraction form
    782.22/1,171.62 = 562.44/x
  3. Step 3: Cross multiply
    782.22x = 1,171.62 × 562.44
  4. Step 4: Simplify right side
    782.22x = 658,965.95
  5. Step 5: Solve for x
    x = 658,965.95/782.22
  6. Step 6: Final answer
    x = 842.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.