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Finding the Fourth Proportional to 1,504.20, 2,256.02 and 408.43

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Solution

The fourth proportional to 1,504.20, 2,256.02 and 408.43 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.20 : 2,256.02 = 408.43 : x
  2. Step 2: Convert to fraction form
    1,504.20/2,256.02 = 408.43/x
  3. Step 3: Cross multiply
    1,504.20x = 2,256.02 × 408.43
  4. Step 4: Simplify right side
    1,504.20x = 921,415.87
  5. Step 5: Solve for x
    x = 921,415.87/1,504.20
  6. Step 6: Final answer
    x = 612.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.