Home / 1,504.05-2,255.79-408.27

Finding the Fourth Proportional to 1,504.05, 2,255.79 and 408.27

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Solution

The fourth proportional to 1,504.05, 2,255.79 and 408.27 is: 612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.05 : 2,255.79 = 408.27 : x
  2. Step 2: Convert to fraction form
    1,504.05/2,255.79 = 408.27/x
  3. Step 3: Cross multiply
    1,504.05x = 2,255.79 × 408.27
  4. Step 4: Simplify right side
    1,504.05x = 920,971.38
  5. Step 5: Solve for x
    x = 920,971.38/1,504.05
  6. Step 6: Final answer
    x = 612.33

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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.