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Finding the Fourth Proportional to 1,426.44, 2,137.99 and 645.53

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Solution

The fourth proportional to 1,426.44, 2,137.99 and 645.53 is: 967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.44 : 2,137.99 = 645.53 : x
  2. Step 2: Convert to fraction form
    1,426.44/2,137.99 = 645.53/x
  3. Step 3: Cross multiply
    1,426.44x = 2,137.99 × 645.53
  4. Step 4: Simplify right side
    1,426.44x = 1,380,136.68
  5. Step 5: Solve for x
    x = 1,380,136.68/1,426.44
  6. Step 6: Final answer
    x = 967.54

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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.