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Finding the Fourth Proportional to 573.56, 791.51 and 311.58

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Solution

The fourth proportional to 573.56, 791.51 and 311.58 is: 429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.56 : 791.51 = 311.58 : x
  2. Step 2: Convert to fraction form
    573.56/791.51 = 311.58/x
  3. Step 3: Cross multiply
    573.56x = 791.51 × 311.58
  4. Step 4: Simplify right side
    573.56x = 246,618.69
  5. Step 5: Solve for x
    x = 246,618.69/573.56
  6. Step 6: Final answer
    x = 429.98

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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.