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Finding the Fourth Proportional to 1,503.91, 2,255.86 and 408.27

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Solution

The fourth proportional to 1,503.91, 2,255.86 and 408.27 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.91 : 2,255.86 = 408.27 : x
  2. Step 2: Convert to fraction form
    1,503.91/2,255.86 = 408.27/x
  3. Step 3: Cross multiply
    1,503.91x = 2,255.86 × 408.27
  4. Step 4: Simplify right side
    1,503.91x = 920,999.96
  5. Step 5: Solve for x
    x = 920,999.96/1,503.91
  6. Step 6: Final answer
    x = 612.40

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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.