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Finding the Fourth Proportional to 445.75, 665.23 and 416.41

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Solution

The fourth proportional to 445.75, 665.23 and 416.41 is: 621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.75 : 665.23 = 416.41 : x
  2. Step 2: Convert to fraction form
    445.75/665.23 = 416.41/x
  3. Step 3: Cross multiply
    445.75x = 665.23 × 416.41
  4. Step 4: Simplify right side
    445.75x = 277,008.42
  5. Step 5: Solve for x
    x = 277,008.42/445.75
  6. Step 6: Final answer
    x = 621.44

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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.