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Finding the Fourth Proportional to 605.10, 834.19 and 418.29

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Solution

The fourth proportional to 605.10, 834.19 and 418.29 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 834.19 = 418.29 : x
  2. Step 2: Convert to fraction form
    605.10/834.19 = 418.29/x
  3. Step 3: Cross multiply
    605.10x = 834.19 × 418.29
  4. Step 4: Simplify right side
    605.10x = 348,933.34
  5. Step 5: Solve for x
    x = 348,933.34/605.10
  6. Step 6: Final answer
    x = 576.65

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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.