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Finding the Fourth Proportional to 1,448.53, 2,172.46 and 408.63

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Solution

The fourth proportional to 1,448.53, 2,172.46 and 408.63 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.53 : 2,172.46 = 408.63 : x
  2. Step 2: Convert to fraction form
    1,448.53/2,172.46 = 408.63/x
  3. Step 3: Cross multiply
    1,448.53x = 2,172.46 × 408.63
  4. Step 4: Simplify right side
    1,448.53x = 887,732.33
  5. Step 5: Solve for x
    x = 887,732.33/1,448.53
  6. Step 6: Final answer
    x = 612.85

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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.