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Finding the Fourth Proportional to 940.71, 1,409.69 and 667.33

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Solution

The fourth proportional to 940.71, 1,409.69 and 667.33 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.71 : 1,409.69 = 667.33 : x
  2. Step 2: Convert to fraction form
    940.71/1,409.69 = 667.33/x
  3. Step 3: Cross multiply
    940.71x = 1,409.69 × 667.33
  4. Step 4: Simplify right side
    940.71x = 940,728.43
  5. Step 5: Solve for x
    x = 940,728.43/940.71
  6. Step 6: Final answer
    x = 1,000.02

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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.