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Finding the Fourth Proportional to 573.45, 791.35 and 311.46

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Solution

The fourth proportional to 573.45, 791.35 and 311.46 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 791.35 = 311.46 : x
  2. Step 2: Convert to fraction form
    573.45/791.35 = 311.46/x
  3. Step 3: Cross multiply
    573.45x = 791.35 × 311.46
  4. Step 4: Simplify right side
    573.45x = 246,475.74
  5. Step 5: Solve for x
    x = 246,475.74/573.45
  6. Step 6: Final answer
    x = 429.81

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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.