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Finding the Fourth Proportional to 1,504.25, 2,256.38 and 580.22

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Solution

The fourth proportional to 1,504.25, 2,256.38 and 580.22 is: 870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.25 : 2,256.38 = 580.22 : x
  2. Step 2: Convert to fraction form
    1,504.25/2,256.38 = 580.22/x
  3. Step 3: Cross multiply
    1,504.25x = 2,256.38 × 580.22
  4. Step 4: Simplify right side
    1,504.25x = 1,309,196.80
  5. Step 5: Solve for x
    x = 1,309,196.80/1,504.25
  6. Step 6: Final answer
    x = 870.33

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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.