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Finding the Fourth Proportional to 574.73, 791.74 and 474.73

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Solution

The fourth proportional to 574.73, 791.74 and 474.73 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.73 : 791.74 = 474.73 : x
  2. Step 2: Convert to fraction form
    574.73/791.74 = 474.73/x
  3. Step 3: Cross multiply
    574.73x = 791.74 × 474.73
  4. Step 4: Simplify right side
    574.73x = 375,861.34
  5. Step 5: Solve for x
    x = 375,861.34/574.73
  6. Step 6: Final answer
    x = 653.98

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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.