Home / 1,504.33-2,256.21-408.55

Finding the Fourth Proportional to 1,504.33, 2,256.21 and 408.55

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Solution

The fourth proportional to 1,504.33, 2,256.21 and 408.55 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.33 : 2,256.21 = 408.55 : x
  2. Step 2: Convert to fraction form
    1,504.33/2,256.21 = 408.55/x
  3. Step 3: Cross multiply
    1,504.33x = 2,256.21 × 408.55
  4. Step 4: Simplify right side
    1,504.33x = 921,774.60
  5. Step 5: Solve for x
    x = 921,774.60/1,504.33
  6. Step 6: Final answer
    x = 612.75

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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.