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Finding the Fourth Proportional to 573.50, 791.76 and 399.08

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Solution

The fourth proportional to 573.50, 791.76 and 399.08 is: 550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 791.76 = 399.08 : x
  2. Step 2: Convert to fraction form
    573.50/791.76 = 399.08/x
  3. Step 3: Cross multiply
    573.50x = 791.76 × 399.08
  4. Step 4: Simplify right side
    573.50x = 315,971.62
  5. Step 5: Solve for x
    x = 315,971.62/573.50
  6. Step 6: Final answer
    x = 550.96

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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.