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Finding the Fourth Proportional to 603.02, 902.75 and 449.63

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Solution

The fourth proportional to 603.02, 902.75 and 449.63 is: 673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 902.75 = 449.63 : x
  2. Step 2: Convert to fraction form
    603.02/902.75 = 449.63/x
  3. Step 3: Cross multiply
    603.02x = 902.75 × 449.63
  4. Step 4: Simplify right side
    603.02x = 405,896.72
  5. Step 5: Solve for x
    x = 405,896.72/603.02
  6. Step 6: Final answer
    x = 673.11

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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.