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Finding the Fourth Proportional to 485.96, 727.65 and 408.33

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Solution

The fourth proportional to 485.96, 727.65 and 408.33 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.96 : 727.65 = 408.33 : x
  2. Step 2: Convert to fraction form
    485.96/727.65 = 408.33/x
  3. Step 3: Cross multiply
    485.96x = 727.65 × 408.33
  4. Step 4: Simplify right side
    485.96x = 297,121.32
  5. Step 5: Solve for x
    x = 297,121.32/485.96
  6. Step 6: Final answer
    x = 611.42

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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.