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Finding the Fourth Proportional to 445.44, 613.40 and 408.48

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Solution

The fourth proportional to 445.44, 613.40 and 408.48 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.44 : 613.40 = 408.48 : x
  2. Step 2: Convert to fraction form
    445.44/613.40 = 408.48/x
  3. Step 3: Cross multiply
    445.44x = 613.40 × 408.48
  4. Step 4: Simplify right side
    445.44x = 250,561.63
  5. Step 5: Solve for x
    x = 250,561.63/445.44
  6. Step 6: Final answer
    x = 562.50

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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.