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Finding the Fourth Proportional to 612.97, 846.05 and 446.72

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Solution

The fourth proportional to 612.97, 846.05 and 446.72 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.97 : 846.05 = 446.72 : x
  2. Step 2: Convert to fraction form
    612.97/846.05 = 446.72/x
  3. Step 3: Cross multiply
    612.97x = 846.05 × 446.72
  4. Step 4: Simplify right side
    612.97x = 377,940.99
  5. Step 5: Solve for x
    x = 377,940.99/612.97
  6. Step 6: Final answer
    x = 616.58

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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.