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Finding the Fourth Proportional to 705.92, 965.51 and 694.58

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Solution

The fourth proportional to 705.92, 965.51 and 694.58 is: 949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 965.51 = 694.58 : x
  2. Step 2: Convert to fraction form
    705.92/965.51 = 694.58/x
  3. Step 3: Cross multiply
    705.92x = 965.51 × 694.58
  4. Step 4: Simplify right side
    705.92x = 670,615.64
  5. Step 5: Solve for x
    x = 670,615.64/705.92
  6. Step 6: Final answer
    x = 949.99

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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.