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Finding the Fourth Proportional to 455.63, 629.09 and 411.27

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Solution

The fourth proportional to 455.63, 629.09 and 411.27 is: 567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 629.09 = 411.27 : x
  2. Step 2: Convert to fraction form
    455.63/629.09 = 411.27/x
  3. Step 3: Cross multiply
    455.63x = 629.09 × 411.27
  4. Step 4: Simplify right side
    455.63x = 258,723.79
  5. Step 5: Solve for x
    x = 258,723.79/455.63
  6. Step 6: Final answer
    x = 567.84

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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.