Home / 1,504.08-2,255.80-408.46

Finding the Fourth Proportional to 1,504.08, 2,255.80 and 408.46

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Solution

The fourth proportional to 1,504.08, 2,255.80 and 408.46 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.08 : 2,255.80 = 408.46 : x
  2. Step 2: Convert to fraction form
    1,504.08/2,255.80 = 408.46/x
  3. Step 3: Cross multiply
    1,504.08x = 2,255.80 × 408.46
  4. Step 4: Simplify right side
    1,504.08x = 921,390.75
  5. Step 5: Solve for x
    x = 921,390.75/1,504.08
  6. Step 6: Final answer
    x = 612.59

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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.