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Finding the Fourth Proportional to 1,219.25, 1,682.57 and 667.25

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Solution

The fourth proportional to 1,219.25, 1,682.57 and 667.25 is: 920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.25 : 1,682.57 = 667.25 : x
  2. Step 2: Convert to fraction form
    1,219.25/1,682.57 = 667.25/x
  3. Step 3: Cross multiply
    1,219.25x = 1,682.57 × 667.25
  4. Step 4: Simplify right side
    1,219.25x = 1,122,691.50
  5. Step 5: Solve for x
    x = 1,122,691.50/1,219.25
  6. Step 6: Final answer
    x = 920.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.