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Finding the Fourth Proportional to 455.72, 629.04 and 408.80

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Solution

The fourth proportional to 455.72, 629.04 and 408.80 is: 564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 629.04 = 408.80 : x
  2. Step 2: Convert to fraction form
    455.72/629.04 = 408.80/x
  3. Step 3: Cross multiply
    455.72x = 629.04 × 408.80
  4. Step 4: Simplify right side
    455.72x = 257,151.55
  5. Step 5: Solve for x
    x = 257,151.55/455.72
  6. Step 6: Final answer
    x = 564.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.