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Finding the Fourth Proportional to 603.99, 905.18 and 398.05

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Solution

The fourth proportional to 603.99, 905.18 and 398.05 is: 596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.99 : 905.18 = 398.05 : x
  2. Step 2: Convert to fraction form
    603.99/905.18 = 398.05/x
  3. Step 3: Cross multiply
    603.99x = 905.18 × 398.05
  4. Step 4: Simplify right side
    603.99x = 360,302.65
  5. Step 5: Solve for x
    x = 360,302.65/603.99
  6. Step 6: Final answer
    x = 596.54

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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.