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Finding the Fourth Proportional to 960.72, 1,325.32 and 923.46

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Solution

The fourth proportional to 960.72, 1,325.32 and 923.46 is: 1,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.72 : 1,325.32 = 923.46 : x
  2. Step 2: Convert to fraction form
    960.72/1,325.32 = 923.46/x
  3. Step 3: Cross multiply
    960.72x = 1,325.32 × 923.46
  4. Step 4: Simplify right side
    960.72x = 1,223,880.01
  5. Step 5: Solve for x
    x = 1,223,880.01/960.72
  6. Step 6: Final answer
    x = 1,273.92

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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.