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Finding the Fourth Proportional to 759.94, 1,139.91 and 246.94

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Solution

The fourth proportional to 759.94, 1,139.91 and 246.94 is: 370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.94 : 1,139.91 = 246.94 : x
  2. Step 2: Convert to fraction form
    759.94/1,139.91 = 246.94/x
  3. Step 3: Cross multiply
    759.94x = 1,139.91 × 246.94
  4. Step 4: Simplify right side
    759.94x = 281,485.60
  5. Step 5: Solve for x
    x = 281,485.60/759.94
  6. Step 6: Final answer
    x = 370.41

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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.