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Finding the Fourth Proportional to 597.86, 825.39 and 398.64

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Solution

The fourth proportional to 597.86, 825.39 and 398.64 is: 550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 825.39 = 398.64 : x
  2. Step 2: Convert to fraction form
    597.86/825.39 = 398.64/x
  3. Step 3: Cross multiply
    597.86x = 825.39 × 398.64
  4. Step 4: Simplify right side
    597.86x = 329,033.47
  5. Step 5: Solve for x
    x = 329,033.47/597.86
  6. Step 6: Final answer
    x = 550.35

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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.