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Finding the Fourth Proportional to 452.09, 622.98 and 395.78

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Solution

The fourth proportional to 452.09, 622.98 and 395.78 is: 545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 622.98 = 395.78 : x
  2. Step 2: Convert to fraction form
    452.09/622.98 = 395.78/x
  3. Step 3: Cross multiply
    452.09x = 622.98 × 395.78
  4. Step 4: Simplify right side
    452.09x = 246,563.02
  5. Step 5: Solve for x
    x = 246,563.02/452.09
  6. Step 6: Final answer
    x = 545.38

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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.