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Finding the Fourth Proportional to 573.93, 791.89 and 408.09

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Solution

The fourth proportional to 573.93, 791.89 and 408.09 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.93 : 791.89 = 408.09 : x
  2. Step 2: Convert to fraction form
    573.93/791.89 = 408.09/x
  3. Step 3: Cross multiply
    573.93x = 791.89 × 408.09
  4. Step 4: Simplify right side
    573.93x = 323,159.93
  5. Step 5: Solve for x
    x = 323,159.93/573.93
  6. Step 6: Final answer
    x = 563.06

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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.