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Finding the Fourth Proportional to 847.14, 1,272.51 and 797.82

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Solution

The fourth proportional to 847.14, 1,272.51 and 797.82 is: 1,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.14 : 1,272.51 = 797.82 : x
  2. Step 2: Convert to fraction form
    847.14/1,272.51 = 797.82/x
  3. Step 3: Cross multiply
    847.14x = 1,272.51 × 797.82
  4. Step 4: Simplify right side
    847.14x = 1,015,233.93
  5. Step 5: Solve for x
    x = 1,015,233.93/847.14
  6. Step 6: Final answer
    x = 1,198.43

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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.