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Finding the Fourth Proportional to 960.38, 1,440.57 and 447.02

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Solution

The fourth proportional to 960.38, 1,440.57 and 447.02 is: 670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.38 : 1,440.57 = 447.02 : x
  2. Step 2: Convert to fraction form
    960.38/1,440.57 = 447.02/x
  3. Step 3: Cross multiply
    960.38x = 1,440.57 × 447.02
  4. Step 4: Simplify right side
    960.38x = 643,963.60
  5. Step 5: Solve for x
    x = 643,963.60/960.38
  6. Step 6: Final answer
    x = 670.53

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1.5x scale

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.