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Finding the Fourth Proportional to 605.09, 834.53 and 405.95

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Solution

The fourth proportional to 605.09, 834.53 and 405.95 is: 559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.09 : 834.53 = 405.95 : x
  2. Step 2: Convert to fraction form
    605.09/834.53 = 405.95/x
  3. Step 3: Cross multiply
    605.09x = 834.53 × 405.95
  4. Step 4: Simplify right side
    605.09x = 338,779.43
  5. Step 5: Solve for x
    x = 338,779.43/605.09
  6. Step 6: Final answer
    x = 559.89

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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.