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Finding the Fourth Proportional to 1,006, 1,391.16 and 960.16

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Solution

The fourth proportional to 1,006, 1,391.16 and 960.16 is: 1,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006 : 1,391.16 = 960.16 : x
  2. Step 2: Convert to fraction form
    1,006/1,391.16 = 960.16/x
  3. Step 3: Cross multiply
    1,006x = 1,391.16 × 960.16
  4. Step 4: Simplify right side
    1,006x = 1,335,736.19
  5. Step 5: Solve for x
    x = 1,335,736.19/1,006
  6. Step 6: Final answer
    x = 1,327.77

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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.