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Finding the Fourth Proportional to 597.78, 825.21 and 398.70

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Solution

The fourth proportional to 597.78, 825.21 and 398.70 is: 550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 825.21 = 398.70 : x
  2. Step 2: Convert to fraction form
    597.78/825.21 = 398.70/x
  3. Step 3: Cross multiply
    597.78x = 825.21 × 398.70
  4. Step 4: Simplify right side
    597.78x = 329,011.23
  5. Step 5: Solve for x
    x = 329,011.23/597.78
  6. Step 6: Final answer
    x = 550.39

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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.