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Finding the Fourth Proportional to 573.94, 791.68 and 500.43

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Solution

The fourth proportional to 573.94, 791.68 and 500.43 is: 690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.94 : 791.68 = 500.43 : x
  2. Step 2: Convert to fraction form
    573.94/791.68 = 500.43/x
  3. Step 3: Cross multiply
    573.94x = 791.68 × 500.43
  4. Step 4: Simplify right side
    573.94x = 396,183.65
  5. Step 5: Solve for x
    x = 396,183.65/573.94
  6. Step 6: Final answer
    x = 690.29

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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.