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Finding the Fourth Proportional to 1,138.94, 1,571.81 and 696.94

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Solution

The fourth proportional to 1,138.94, 1,571.81 and 696.94 is: 961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.94 : 1,571.81 = 696.94 : x
  2. Step 2: Convert to fraction form
    1,138.94/1,571.81 = 696.94/x
  3. Step 3: Cross multiply
    1,138.94x = 1,571.81 × 696.94
  4. Step 4: Simplify right side
    1,138.94x = 1,095,455.74
  5. Step 5: Solve for x
    x = 1,095,455.74/1,138.94
  6. Step 6: Final answer
    x = 961.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.