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Finding the Fourth Proportional to 605.01, 835.25 and 416.23

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Solution

The fourth proportional to 605.01, 835.25 and 416.23 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.01 : 835.25 = 416.23 : x
  2. Step 2: Convert to fraction form
    605.01/835.25 = 416.23/x
  3. Step 3: Cross multiply
    605.01x = 835.25 × 416.23
  4. Step 4: Simplify right side
    605.01x = 347,651.94
  5. Step 5: Solve for x
    x = 347,651.94/605.01
  6. Step 6: Final answer
    x = 574.62

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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.