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Finding the Fourth Proportional to 705.72, 965.25 and 694.38

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Solution

The fourth proportional to 705.72, 965.25 and 694.38 is: 949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 965.25 = 694.38 : x
  2. Step 2: Convert to fraction form
    705.72/965.25 = 694.38/x
  3. Step 3: Cross multiply
    705.72x = 965.25 × 694.38
  4. Step 4: Simplify right side
    705.72x = 670,250.30
  5. Step 5: Solve for x
    x = 670,250.30/705.72
  6. Step 6: Final answer
    x = 949.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.