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Finding the Fourth Proportional to 1,351.60, 2,027.34 and 427.02

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Solution

The fourth proportional to 1,351.60, 2,027.34 and 427.02 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.60 : 2,027.34 = 427.02 : x
  2. Step 2: Convert to fraction form
    1,351.60/2,027.34 = 427.02/x
  3. Step 3: Cross multiply
    1,351.60x = 2,027.34 × 427.02
  4. Step 4: Simplify right side
    1,351.60x = 865,714.73
  5. Step 5: Solve for x
    x = 865,714.73/1,351.60
  6. Step 6: Final answer
    x = 640.51

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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.