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Finding the Fourth Proportional to 960.94, 1,440.91 and 440.49

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Solution

The fourth proportional to 960.94, 1,440.91 and 440.49 is: 660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.94 : 1,440.91 = 440.49 : x
  2. Step 2: Convert to fraction form
    960.94/1,440.91 = 440.49/x
  3. Step 3: Cross multiply
    960.94x = 1,440.91 × 440.49
  4. Step 4: Simplify right side
    960.94x = 634,714.65
  5. Step 5: Solve for x
    x = 634,714.65/960.94
  6. Step 6: Final answer
    x = 660.51

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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.