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Finding the Fourth Proportional to 799.70, 1,198.06 and 695.76

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Solution

The fourth proportional to 799.70, 1,198.06 and 695.76 is: 1,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.70 : 1,198.06 = 695.76 : x
  2. Step 2: Convert to fraction form
    799.70/1,198.06 = 695.76/x
  3. Step 3: Cross multiply
    799.70x = 1,198.06 × 695.76
  4. Step 4: Simplify right side
    799.70x = 833,562.23
  5. Step 5: Solve for x
    x = 833,562.23/799.70
  6. Step 6: Final answer
    x = 1,042.34

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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.