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Finding the Fourth Proportional to 605.88, 835.92 and 505.04

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Solution

The fourth proportional to 605.88, 835.92 and 505.04 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.88 : 835.92 = 505.04 : x
  2. Step 2: Convert to fraction form
    605.88/835.92 = 505.04/x
  3. Step 3: Cross multiply
    605.88x = 835.92 × 505.04
  4. Step 4: Simplify right side
    605.88x = 422,168.86
  5. Step 5: Solve for x
    x = 422,168.86/605.88
  6. Step 6: Final answer
    x = 696.79

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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.