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Finding the Fourth Proportional to 485.43, 727.22 and 408.87

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Solution

The fourth proportional to 485.43, 727.22 and 408.87 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.43 : 727.22 = 408.87 : x
  2. Step 2: Convert to fraction form
    485.43/727.22 = 408.87/x
  3. Step 3: Cross multiply
    485.43x = 727.22 × 408.87
  4. Step 4: Simplify right side
    485.43x = 297,336.40
  5. Step 5: Solve for x
    x = 297,336.40/485.43
  6. Step 6: Final answer
    x = 612.52

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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.