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Finding the Fourth Proportional to 960.21, 1,440.50 and 615.78

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Solution

The fourth proportional to 960.21, 1,440.50 and 615.78 is: 923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.21 : 1,440.50 = 615.78 : x
  2. Step 2: Convert to fraction form
    960.21/1,440.50 = 615.78/x
  3. Step 3: Cross multiply
    960.21x = 1,440.50 × 615.78
  4. Step 4: Simplify right side
    960.21x = 887,028.01
  5. Step 5: Solve for x
    x = 887,028.01/960.21
  6. Step 6: Final answer
    x = 923.79

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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.