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Finding the Fourth Proportional to 799.49, 1,201.05 and 690.14

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Solution

The fourth proportional to 799.49, 1,201.05 and 690.14 is: 1,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.49 : 1,201.05 = 690.14 : x
  2. Step 2: Convert to fraction form
    799.49/1,201.05 = 690.14/x
  3. Step 3: Cross multiply
    799.49x = 1,201.05 × 690.14
  4. Step 4: Simplify right side
    799.49x = 828,892.65
  5. Step 5: Solve for x
    x = 828,892.65/799.49
  6. Step 6: Final answer
    x = 1,036.78

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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.