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Finding the Fourth Proportional to 960.64, 1,440.68 and 685.88

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Solution

The fourth proportional to 960.64, 1,440.68 and 685.88 is: 1,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.64 : 1,440.68 = 685.88 : x
  2. Step 2: Convert to fraction form
    960.64/1,440.68 = 685.88/x
  3. Step 3: Cross multiply
    960.64x = 1,440.68 × 685.88
  4. Step 4: Simplify right side
    960.64x = 988,133.60
  5. Step 5: Solve for x
    x = 988,133.60/960.64
  6. Step 6: Final answer
    x = 1,028.62

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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.