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Finding the Fourth Proportional to 911.14, 1,255.87 and 645.67

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Solution

The fourth proportional to 911.14, 1,255.87 and 645.67 is: 889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.14 : 1,255.87 = 645.67 : x
  2. Step 2: Convert to fraction form
    911.14/1,255.87 = 645.67/x
  3. Step 3: Cross multiply
    911.14x = 1,255.87 × 645.67
  4. Step 4: Simplify right side
    911.14x = 810,877.58
  5. Step 5: Solve for x
    x = 810,877.58/911.14
  6. Step 6: Final answer
    x = 889.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.