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Finding the Fourth Proportional to 598.22, 825.71 and 399.33

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Solution

The fourth proportional to 598.22, 825.71 and 399.33 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 825.71 = 399.33 : x
  2. Step 2: Convert to fraction form
    598.22/825.71 = 399.33/x
  3. Step 3: Cross multiply
    598.22x = 825.71 × 399.33
  4. Step 4: Simplify right side
    598.22x = 329,728.78
  5. Step 5: Solve for x
    x = 329,728.78/598.22
  6. Step 6: Final answer
    x = 551.19

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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.