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Finding the Fourth Proportional to 825.12, 1,234.31 and 775.98

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Solution

The fourth proportional to 825.12, 1,234.31 and 775.98 is: 1,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,234.31 = 775.98 : x
  2. Step 2: Convert to fraction form
    825.12/1,234.31 = 775.98/x
  3. Step 3: Cross multiply
    825.12x = 1,234.31 × 775.98
  4. Step 4: Simplify right side
    825.12x = 957,795.99
  5. Step 5: Solve for x
    x = 957,795.99/825.12
  6. Step 6: Final answer
    x = 1,160.80

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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.