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Finding the Fourth Proportional to 667.54, 1,000.83 and 251.01

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Solution

The fourth proportional to 667.54, 1,000.83 and 251.01 is: 376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.54 : 1,000.83 = 251.01 : x
  2. Step 2: Convert to fraction form
    667.54/1,000.83 = 251.01/x
  3. Step 3: Cross multiply
    667.54x = 1,000.83 × 251.01
  4. Step 4: Simplify right side
    667.54x = 251,216.70
  5. Step 5: Solve for x
    x = 251,216.70/667.54
  6. Step 6: Final answer
    x = 376.33

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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.