Home / 1,207.44-1,811.34-427.54

Finding the Fourth Proportional to 1,207.44, 1,811.34 and 427.54

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Solution

The fourth proportional to 1,207.44, 1,811.34 and 427.54 is: 641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.44 : 1,811.34 = 427.54 : x
  2. Step 2: Convert to fraction form
    1,207.44/1,811.34 = 427.54/x
  3. Step 3: Cross multiply
    1,207.44x = 1,811.34 × 427.54
  4. Step 4: Simplify right side
    1,207.44x = 774,420.30
  5. Step 5: Solve for x
    x = 774,420.30/1,207.44
  6. Step 6: Final answer
    x = 641.37

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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.