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Finding the Fourth Proportional to 599.59, 827.37 and 442.31

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Solution

The fourth proportional to 599.59, 827.37 and 442.31 is: 610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.59 : 827.37 = 442.31 : x
  2. Step 2: Convert to fraction form
    599.59/827.37 = 442.31/x
  3. Step 3: Cross multiply
    599.59x = 827.37 × 442.31
  4. Step 4: Simplify right side
    599.59x = 365,949.89
  5. Step 5: Solve for x
    x = 365,949.89/599.59
  6. Step 6: Final answer
    x = 610.34

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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.