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Finding the Fourth Proportional to 605.27, 835.18 and 353.23

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Solution

The fourth proportional to 605.27, 835.18 and 353.23 is: 487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.27 : 835.18 = 353.23 : x
  2. Step 2: Convert to fraction form
    605.27/835.18 = 353.23/x
  3. Step 3: Cross multiply
    605.27x = 835.18 × 353.23
  4. Step 4: Simplify right side
    605.27x = 295,007.66
  5. Step 5: Solve for x
    x = 295,007.66/605.27
  6. Step 6: Final answer
    x = 487.40

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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.