Home / 1,448.39-2,172.45-408.38

Finding the Fourth Proportional to 1,448.39, 2,172.45 and 408.38

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Solution

The fourth proportional to 1,448.39, 2,172.45 and 408.38 is: 612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.39 : 2,172.45 = 408.38 : x
  2. Step 2: Convert to fraction form
    1,448.39/2,172.45 = 408.38/x
  3. Step 3: Cross multiply
    1,448.39x = 2,172.45 × 408.38
  4. Step 4: Simplify right side
    1,448.39x = 887,185.13
  5. Step 5: Solve for x
    x = 887,185.13/1,448.39
  6. Step 6: Final answer
    x = 612.53

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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.