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Finding the Fourth Proportional to 398.87, 594.39 and 385.82

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Solution

The fourth proportional to 398.87, 594.39 and 385.82 is: 574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.87 : 594.39 = 385.82 : x
  2. Step 2: Convert to fraction form
    398.87/594.39 = 385.82/x
  3. Step 3: Cross multiply
    398.87x = 594.39 × 385.82
  4. Step 4: Simplify right side
    398.87x = 229,327.55
  5. Step 5: Solve for x
    x = 229,327.55/398.87
  6. Step 6: Final answer
    x = 574.94

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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.