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Finding the Fourth Proportional to 398.99, 599.00 and 382.59

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Solution

The fourth proportional to 398.99, 599.00 and 382.59 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.99 : 599.00 = 382.59 : x
  2. Step 2: Convert to fraction form
    398.99/599.00 = 382.59/x
  3. Step 3: Cross multiply
    398.99x = 599.00 × 382.59
  4. Step 4: Simplify right side
    398.99x = 229,169.50
  5. Step 5: Solve for x
    x = 229,169.50/398.99
  6. Step 6: Final answer
    x = 574.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.