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Finding the Fourth Proportional to 961.10, 1,441.80 and 311.75

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Solution

The fourth proportional to 961.10, 1,441.80 and 311.75 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.10 : 1,441.80 = 311.75 : x
  2. Step 2: Convert to fraction form
    961.10/1,441.80 = 311.75/x
  3. Step 3: Cross multiply
    961.10x = 1,441.80 × 311.75
  4. Step 4: Simplify right side
    961.10x = 449,481.15
  5. Step 5: Solve for x
    x = 449,481.15/961.10
  6. Step 6: Final answer
    x = 467.67

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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.