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Finding the Fourth Proportional to 1,351.38, 2,027.38 and 427.00

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Solution

The fourth proportional to 1,351.38, 2,027.38 and 427.00 is: 640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.38 : 2,027.38 = 427.00 : x
  2. Step 2: Convert to fraction form
    1,351.38/2,027.38 = 427.00/x
  3. Step 3: Cross multiply
    1,351.38x = 2,027.38 × 427.00
  4. Step 4: Simplify right side
    1,351.38x = 865,684.02
  5. Step 5: Solve for x
    x = 865,684.02/1,351.38
  6. Step 6: Final answer
    x = 640.59

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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.