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Finding the Fourth Proportional to 706.10, 965.79 and 694.76

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Solution

The fourth proportional to 706.10, 965.79 and 694.76 is: 950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 965.79 = 694.76 : x
  2. Step 2: Convert to fraction form
    706.10/965.79 = 694.76/x
  3. Step 3: Cross multiply
    706.10x = 965.79 × 694.76
  4. Step 4: Simplify right side
    706.10x = 670,987.43
  5. Step 5: Solve for x
    x = 670,987.43/706.10
  6. Step 6: Final answer
    x = 950.28

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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.