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Finding the Fourth Proportional to 573.53, 791.47 and 311.54

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Solution

The fourth proportional to 573.53, 791.47 and 311.54 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.53 : 791.47 = 311.54 : x
  2. Step 2: Convert to fraction form
    573.53/791.47 = 311.54/x
  3. Step 3: Cross multiply
    573.53x = 791.47 × 311.54
  4. Step 4: Simplify right side
    573.53x = 246,573.01
  5. Step 5: Solve for x
    x = 246,573.01/573.53
  6. Step 6: Final answer
    x = 429.93

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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.