Home / 1,020.06-1,528.32-961.56

Finding the Fourth Proportional to 1,020.06, 1,528.32 and 961.56

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Solution

The fourth proportional to 1,020.06, 1,528.32 and 961.56 is: 1,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.06 : 1,528.32 = 961.56 : x
  2. Step 2: Convert to fraction form
    1,020.06/1,528.32 = 961.56/x
  3. Step 3: Cross multiply
    1,020.06x = 1,528.32 × 961.56
  4. Step 4: Simplify right side
    1,020.06x = 1,469,571.38
  5. Step 5: Solve for x
    x = 1,469,571.38/1,020.06
  6. Step 6: Final answer
    x = 1,440.67

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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.