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Finding the Fourth Proportional to 612.82, 846.81 and 446.75

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Solution

The fourth proportional to 612.82, 846.81 and 446.75 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.82 : 846.81 = 446.75 : x
  2. Step 2: Convert to fraction form
    612.82/846.81 = 446.75/x
  3. Step 3: Cross multiply
    612.82x = 846.81 × 446.75
  4. Step 4: Simplify right side
    612.82x = 378,308.13
  5. Step 5: Solve for x
    x = 378,308.13/612.82
  6. Step 6: Final answer
    x = 617.33

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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.