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Finding the Fourth Proportional to 960.30, 1,438.43 and 440.75

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Solution

The fourth proportional to 960.30, 1,438.43 and 440.75 is: 660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,438.43 = 440.75 : x
  2. Step 2: Convert to fraction form
    960.30/1,438.43 = 440.75/x
  3. Step 3: Cross multiply
    960.30x = 1,438.43 × 440.75
  4. Step 4: Simplify right side
    960.30x = 633,978.63
  5. Step 5: Solve for x
    x = 633,978.63/960.30
  6. Step 6: Final answer
    x = 660.19

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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.