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Finding the Fourth Proportional to 822.76, 1,234.41 and 514.83

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Solution

The fourth proportional to 822.76, 1,234.41 and 514.83 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,234.41 = 514.83 : x
  2. Step 2: Convert to fraction form
    822.76/1,234.41 = 514.83/x
  3. Step 3: Cross multiply
    822.76x = 1,234.41 × 514.83
  4. Step 4: Simplify right side
    822.76x = 635,511.30
  5. Step 5: Solve for x
    x = 635,511.30/822.76
  6. Step 6: Final answer
    x = 772.41

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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.