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Finding the Fourth Proportional to 574.89, 793.62 and 338.77

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Solution

The fourth proportional to 574.89, 793.62 and 338.77 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.89 : 793.62 = 338.77 : x
  2. Step 2: Convert to fraction form
    574.89/793.62 = 338.77/x
  3. Step 3: Cross multiply
    574.89x = 793.62 × 338.77
  4. Step 4: Simplify right side
    574.89x = 268,850.68
  5. Step 5: Solve for x
    x = 268,850.68/574.89
  6. Step 6: Final answer
    x = 467.66

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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.