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Finding the Fourth Proportional to 605.08, 834.66 and 408.64

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Solution

The fourth proportional to 605.08, 834.66 and 408.64 is: 563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.08 : 834.66 = 408.64 : x
  2. Step 2: Convert to fraction form
    605.08/834.66 = 408.64/x
  3. Step 3: Cross multiply
    605.08x = 834.66 × 408.64
  4. Step 4: Simplify right side
    605.08x = 341,075.46
  5. Step 5: Solve for x
    x = 341,075.46/605.08
  6. Step 6: Final answer
    x = 563.69

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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.