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Finding the Fourth Proportional to 612.84, 845.82 and 447.60

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Solution

The fourth proportional to 612.84, 845.82 and 447.60 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 845.82 = 447.60 : x
  2. Step 2: Convert to fraction form
    612.84/845.82 = 447.60/x
  3. Step 3: Cross multiply
    612.84x = 845.82 × 447.60
  4. Step 4: Simplify right side
    612.84x = 378,589.03
  5. Step 5: Solve for x
    x = 378,589.03/612.84
  6. Step 6: Final answer
    x = 617.76

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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.