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Finding the Fourth Proportional to 599.43, 823.75 and 494.34

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Solution

The fourth proportional to 599.43, 823.75 and 494.34 is: 679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.43 : 823.75 = 494.34 : x
  2. Step 2: Convert to fraction form
    599.43/823.75 = 494.34/x
  3. Step 3: Cross multiply
    599.43x = 823.75 × 494.34
  4. Step 4: Simplify right side
    599.43x = 407,212.58
  5. Step 5: Solve for x
    x = 407,212.58/599.43
  6. Step 6: Final answer
    x = 679.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.