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Finding the Fourth Proportional to 550.94, 826.47 and 449.09

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Solution

The fourth proportional to 550.94, 826.47 and 449.09 is: 673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.94 : 826.47 = 449.09 : x
  2. Step 2: Convert to fraction form
    550.94/826.47 = 449.09/x
  3. Step 3: Cross multiply
    550.94x = 826.47 × 449.09
  4. Step 4: Simplify right side
    550.94x = 371,159.41
  5. Step 5: Solve for x
    x = 371,159.41/550.94
  6. Step 6: Final answer
    x = 673.68

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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.