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Finding the Fourth Proportional to 942.41, 1,414.86 and 757.43

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Solution

The fourth proportional to 942.41, 1,414.86 and 757.43 is: 1,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.41 : 1,414.86 = 757.43 : x
  2. Step 2: Convert to fraction form
    942.41/1,414.86 = 757.43/x
  3. Step 3: Cross multiply
    942.41x = 1,414.86 × 757.43
  4. Step 4: Simplify right side
    942.41x = 1,071,657.41
  5. Step 5: Solve for x
    x = 1,071,657.41/942.41
  6. Step 6: Final answer
    x = 1,137.15

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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.