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Finding the Fourth Proportional to 573.43, 791.34 and 311.45

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Solution

The fourth proportional to 573.43, 791.34 and 311.45 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.43 : 791.34 = 311.45 : x
  2. Step 2: Convert to fraction form
    573.43/791.34 = 311.45/x
  3. Step 3: Cross multiply
    573.43x = 791.34 × 311.45
  4. Step 4: Simplify right side
    573.43x = 246,457.33
  5. Step 5: Solve for x
    x = 246,457.33/573.43
  6. Step 6: Final answer
    x = 429.79

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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.