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Finding the Fourth Proportional to 967.73, 1,448.10 and 839.25

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Solution

The fourth proportional to 967.73, 1,448.10 and 839.25 is: 1,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.73 : 1,448.10 = 839.25 : x
  2. Step 2: Convert to fraction form
    967.73/1,448.10 = 839.25/x
  3. Step 3: Cross multiply
    967.73x = 1,448.10 × 839.25
  4. Step 4: Simplify right side
    967.73x = 1,215,317.93
  5. Step 5: Solve for x
    x = 1,215,317.93/967.73
  6. Step 6: Final answer
    x = 1,255.85

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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.