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Finding the Fourth Proportional to 1,351.40, 2,027.78 and 667.40

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Solution

The fourth proportional to 1,351.40, 2,027.78 and 667.40 is: 1,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.40 : 2,027.78 = 667.40 : x
  2. Step 2: Convert to fraction form
    1,351.40/2,027.78 = 667.40/x
  3. Step 3: Cross multiply
    1,351.40x = 2,027.78 × 667.40
  4. Step 4: Simplify right side
    1,351.40x = 1,353,340.37
  5. Step 5: Solve for x
    x = 1,353,340.37/1,351.40
  6. Step 6: Final answer
    x = 1,001.44

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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.