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Finding the Fourth Proportional to 1,286.94, 1,931.06 and 670.94

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Solution

The fourth proportional to 1,286.94, 1,931.06 and 670.94 is: 1,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.94 : 1,931.06 = 670.94 : x
  2. Step 2: Convert to fraction form
    1,286.94/1,931.06 = 670.94/x
  3. Step 3: Cross multiply
    1,286.94x = 1,931.06 × 670.94
  4. Step 4: Simplify right side
    1,286.94x = 1,295,625.40
  5. Step 5: Solve for x
    x = 1,295,625.40/1,286.94
  6. Step 6: Final answer
    x = 1,006.75

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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.