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Finding the Fourth Proportional to 960.66, 1,438.83 and 673.38

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Solution

The fourth proportional to 960.66, 1,438.83 and 673.38 is: 1,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.66 : 1,438.83 = 673.38 : x
  2. Step 2: Convert to fraction form
    960.66/1,438.83 = 673.38/x
  3. Step 3: Cross multiply
    960.66x = 1,438.83 × 673.38
  4. Step 4: Simplify right side
    960.66x = 968,879.35
  5. Step 5: Solve for x
    x = 968,879.35/960.66
  6. Step 6: Final answer
    x = 1,008.56

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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.