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Finding the Fourth Proportional to 612.97, 845.71 and 447.39

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Solution

The fourth proportional to 612.97, 845.71 and 447.39 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.97 : 845.71 = 447.39 : x
  2. Step 2: Convert to fraction form
    612.97/845.71 = 447.39/x
  3. Step 3: Cross multiply
    612.97x = 845.71 × 447.39
  4. Step 4: Simplify right side
    612.97x = 378,361.08
  5. Step 5: Solve for x
    x = 378,361.08/612.97
  6. Step 6: Final answer
    x = 617.26

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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.