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Finding the Fourth Proportional to 960.74, 1,440.36 and 441.08

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Solution

The fourth proportional to 960.74, 1,440.36 and 441.08 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.74 : 1,440.36 = 441.08 : x
  2. Step 2: Convert to fraction form
    960.74/1,440.36 = 441.08/x
  3. Step 3: Cross multiply
    960.74x = 1,440.36 × 441.08
  4. Step 4: Simplify right side
    960.74x = 635,313.99
  5. Step 5: Solve for x
    x = 635,313.99/960.74
  6. Step 6: Final answer
    x = 661.28

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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.