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Finding the Fourth Proportional to 613.23, 846.16 and 446.92

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Solution

The fourth proportional to 613.23, 846.16 and 446.92 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.23 : 846.16 = 446.92 : x
  2. Step 2: Convert to fraction form
    613.23/846.16 = 446.92/x
  3. Step 3: Cross multiply
    613.23x = 846.16 × 446.92
  4. Step 4: Simplify right side
    613.23x = 378,165.83
  5. Step 5: Solve for x
    x = 378,165.83/613.23
  6. Step 6: Final answer
    x = 616.68

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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.