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Finding the Fourth Proportional to 1,339.94, 2,007.67 and 949.09

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Solution

The fourth proportional to 1,339.94, 2,007.67 and 949.09 is: 1,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.94 : 2,007.67 = 949.09 : x
  2. Step 2: Convert to fraction form
    1,339.94/2,007.67 = 949.09/x
  3. Step 3: Cross multiply
    1,339.94x = 2,007.67 × 949.09
  4. Step 4: Simplify right side
    1,339.94x = 1,905,459.52
  5. Step 5: Solve for x
    x = 1,905,459.52/1,339.94
  6. Step 6: Final answer
    x = 1,422.05

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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.