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Finding the Fourth Proportional to 940.39, 1,407.96 and 611.69

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Solution

The fourth proportional to 940.39, 1,407.96 and 611.69 is: 915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.39 : 1,407.96 = 611.69 : x
  2. Step 2: Convert to fraction form
    940.39/1,407.96 = 611.69/x
  3. Step 3: Cross multiply
    940.39x = 1,407.96 × 611.69
  4. Step 4: Simplify right side
    940.39x = 861,235.05
  5. Step 5: Solve for x
    x = 861,235.05/940.39
  6. Step 6: Final answer
    x = 915.83

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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.