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Finding the Fourth Proportional to 612.36, 843.52 and 446.12

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Solution

The fourth proportional to 612.36, 843.52 and 446.12 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 843.52 = 446.12 : x
  2. Step 2: Convert to fraction form
    612.36/843.52 = 446.12/x
  3. Step 3: Cross multiply
    612.36x = 843.52 × 446.12
  4. Step 4: Simplify right side
    612.36x = 376,311.14
  5. Step 5: Solve for x
    x = 376,311.14/612.36
  6. Step 6: Final answer
    x = 614.53

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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.