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Finding the Fourth Proportional to 667.58, 999.91 and 550.71

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Solution

The fourth proportional to 667.58, 999.91 and 550.71 is: 824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.58 : 999.91 = 550.71 : x
  2. Step 2: Convert to fraction form
    667.58/999.91 = 550.71/x
  3. Step 3: Cross multiply
    667.58x = 999.91 × 550.71
  4. Step 4: Simplify right side
    667.58x = 550,657.68
  5. Step 5: Solve for x
    x = 550,657.68/667.58
  6. Step 6: Final answer
    x = 824.86

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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.