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Finding the Fourth Proportional to 613.92, 846.36 and 448.14

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Solution

The fourth proportional to 613.92, 846.36 and 448.14 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.92 : 846.36 = 448.14 : x
  2. Step 2: Convert to fraction form
    613.92/846.36 = 448.14/x
  3. Step 3: Cross multiply
    613.92x = 846.36 × 448.14
  4. Step 4: Simplify right side
    613.92x = 379,287.77
  5. Step 5: Solve for x
    x = 379,287.77/613.92
  6. Step 6: Final answer
    x = 617.81

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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.