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Finding the Fourth Proportional to 960.64, 1,440.99 and 375.62

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Solution

The fourth proportional to 960.64, 1,440.99 and 375.62 is: 563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.64 : 1,440.99 = 375.62 : x
  2. Step 2: Convert to fraction form
    960.64/1,440.99 = 375.62/x
  3. Step 3: Cross multiply
    960.64x = 1,440.99 × 375.62
  4. Step 4: Simplify right side
    960.64x = 541,257.46
  5. Step 5: Solve for x
    x = 541,257.46/960.64
  6. Step 6: Final answer
    x = 563.44

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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.