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Finding the Fourth Proportional to 605.15, 834.89 and 448.11

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Solution

The fourth proportional to 605.15, 834.89 and 448.11 is: 618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.15 : 834.89 = 448.11 : x
  2. Step 2: Convert to fraction form
    605.15/834.89 = 448.11/x
  3. Step 3: Cross multiply
    605.15x = 834.89 × 448.11
  4. Step 4: Simplify right side
    605.15x = 374,122.84
  5. Step 5: Solve for x
    x = 374,122.84/605.15
  6. Step 6: Final answer
    x = 618.23

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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.