Home / 1,504.33-2,256.62-408.69

Finding the Fourth Proportional to 1,504.33, 2,256.62 and 408.69

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Solution

The fourth proportional to 1,504.33, 2,256.62 and 408.69 is: 613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.33 : 2,256.62 = 408.69 : x
  2. Step 2: Convert to fraction form
    1,504.33/2,256.62 = 408.69/x
  3. Step 3: Cross multiply
    1,504.33x = 2,256.62 × 408.69
  4. Step 4: Simplify right side
    1,504.33x = 922,255.98
  5. Step 5: Solve for x
    x = 922,255.98/1,504.33
  6. Step 6: Final answer
    x = 613.07

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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.