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Finding the Fourth Proportional to 960.09, 1,441.87 and 882.91

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Solution

The fourth proportional to 960.09, 1,441.87 and 882.91 is: 1,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.09 : 1,441.87 = 882.91 : x
  2. Step 2: Convert to fraction form
    960.09/1,441.87 = 882.91/x
  3. Step 3: Cross multiply
    960.09x = 1,441.87 × 882.91
  4. Step 4: Simplify right side
    960.09x = 1,273,041.44
  5. Step 5: Solve for x
    x = 1,273,041.44/960.09
  6. Step 6: Final answer
    x = 1,325.96

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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.