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Finding the Fourth Proportional to 397.97, 593.60 and 385.82

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Solution

The fourth proportional to 397.97, 593.60 and 385.82 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 593.60 = 385.82 : x
  2. Step 2: Convert to fraction form
    397.97/593.60 = 385.82/x
  3. Step 3: Cross multiply
    397.97x = 593.60 × 385.82
  4. Step 4: Simplify right side
    397.97x = 229,017.85
  5. Step 5: Solve for x
    x = 229,017.85/397.97
  6. Step 6: Final answer
    x = 575.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.