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Finding the Fourth Proportional to 825.82, 1,238.77 and 209.53

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Solution

The fourth proportional to 825.82, 1,238.77 and 209.53 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.82 : 1,238.77 = 209.53 : x
  2. Step 2: Convert to fraction form
    825.82/1,238.77 = 209.53/x
  3. Step 3: Cross multiply
    825.82x = 1,238.77 × 209.53
  4. Step 4: Simplify right side
    825.82x = 259,552.24
  5. Step 5: Solve for x
    x = 259,552.24/825.82
  6. Step 6: Final answer
    x = 314.30

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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.