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Finding the Fourth Proportional to 1,414.42, 2,121.99 and 764.26

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Solution

The fourth proportional to 1,414.42, 2,121.99 and 764.26 is: 1,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.42 : 2,121.99 = 764.26 : x
  2. Step 2: Convert to fraction form
    1,414.42/2,121.99 = 764.26/x
  3. Step 3: Cross multiply
    1,414.42x = 2,121.99 × 764.26
  4. Step 4: Simplify right side
    1,414.42x = 1,621,752.08
  5. Step 5: Solve for x
    x = 1,621,752.08/1,414.42
  6. Step 6: Final answer
    x = 1,146.58

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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.