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Finding the Fourth Proportional to 599.54, 827.84 and 490.19

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Solution

The fourth proportional to 599.54, 827.84 and 490.19 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.54 : 827.84 = 490.19 : x
  2. Step 2: Convert to fraction form
    599.54/827.84 = 490.19/x
  3. Step 3: Cross multiply
    599.54x = 827.84 × 490.19
  4. Step 4: Simplify right side
    599.54x = 405,802.18
  5. Step 5: Solve for x
    x = 405,802.18/599.54
  6. Step 6: Final answer
    x = 676.85

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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.