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Finding the Fourth Proportional to 574.52, 793.31 and 427.82

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Solution

The fourth proportional to 574.52, 793.31 and 427.82 is: 590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.52 : 793.31 = 427.82 : x
  2. Step 2: Convert to fraction form
    574.52/793.31 = 427.82/x
  3. Step 3: Cross multiply
    574.52x = 793.31 × 427.82
  4. Step 4: Simplify right side
    574.52x = 339,387.78
  5. Step 5: Solve for x
    x = 339,387.78/574.52
  6. Step 6: Final answer
    x = 590.74

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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.