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Finding the Fourth Proportional to 1,503.88, 2,256.05 and 408.29

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Solution

The fourth proportional to 1,503.88, 2,256.05 and 408.29 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.88 : 2,256.05 = 408.29 : x
  2. Step 2: Convert to fraction form
    1,503.88/2,256.05 = 408.29/x
  3. Step 3: Cross multiply
    1,503.88x = 2,256.05 × 408.29
  4. Step 4: Simplify right side
    1,503.88x = 921,112.39
  5. Step 5: Solve for x
    x = 921,112.39/1,503.88
  6. Step 6: Final answer
    x = 612.49

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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.