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Finding the Fourth Proportional to 603.25, 905.32 and 441.35

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Solution

The fourth proportional to 603.25, 905.32 and 441.35 is: 662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.25 : 905.32 = 441.35 : x
  2. Step 2: Convert to fraction form
    603.25/905.32 = 441.35/x
  3. Step 3: Cross multiply
    603.25x = 905.32 × 441.35
  4. Step 4: Simplify right side
    603.25x = 399,559.56
  5. Step 5: Solve for x
    x = 399,559.56/603.25
  6. Step 6: Final answer
    x = 662.35

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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.