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Finding the Fourth Proportional to 829.95, 1,245.12 and 252.82

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Solution

The fourth proportional to 829.95, 1,245.12 and 252.82 is: 379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.95 : 1,245.12 = 252.82 : x
  2. Step 2: Convert to fraction form
    829.95/1,245.12 = 252.82/x
  3. Step 3: Cross multiply
    829.95x = 1,245.12 × 252.82
  4. Step 4: Simplify right side
    829.95x = 314,791.24
  5. Step 5: Solve for x
    x = 314,791.24/829.95
  6. Step 6: Final answer
    x = 379.29

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