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Finding the Fourth Proportional to 444.09, 612.64 and 408.55

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Solution

The fourth proportional to 444.09, 612.64 and 408.55 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.09 : 612.64 = 408.55 : x
  2. Step 2: Convert to fraction form
    444.09/612.64 = 408.55/x
  3. Step 3: Cross multiply
    444.09x = 612.64 × 408.55
  4. Step 4: Simplify right side
    444.09x = 250,294.07
  5. Step 5: Solve for x
    x = 250,294.07/444.09
  6. Step 6: Final answer
    x = 563.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.