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Finding the Fourth Proportional to 445.44, 665.46 and 394.02

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Solution

The fourth proportional to 445.44, 665.46 and 394.02 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.44 : 665.46 = 394.02 : x
  2. Step 2: Convert to fraction form
    445.44/665.46 = 394.02/x
  3. Step 3: Cross multiply
    445.44x = 665.46 × 394.02
  4. Step 4: Simplify right side
    445.44x = 262,204.55
  5. Step 5: Solve for x
    x = 262,204.55/445.44
  6. Step 6: Final answer
    x = 588.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.