Home / 1,504.50-2,256.75-408.78

Finding the Fourth Proportional to 1,504.50, 2,256.75 and 408.78

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Solution

The fourth proportional to 1,504.50, 2,256.75 and 408.78 is: 613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.50 : 2,256.75 = 408.78 : x
  2. Step 2: Convert to fraction form
    1,504.50/2,256.75 = 408.78/x
  3. Step 3: Cross multiply
    1,504.50x = 2,256.75 × 408.78
  4. Step 4: Simplify right side
    1,504.50x = 922,514.27
  5. Step 5: Solve for x
    x = 922,514.27/1,504.50
  6. Step 6: Final answer
    x = 613.17

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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.