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Finding the Fourth Proportional to 799.76, 1,199.17 and 279.69

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Solution

The fourth proportional to 799.76, 1,199.17 and 279.69 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,199.17 = 279.69 : x
  2. Step 2: Convert to fraction form
    799.76/1,199.17 = 279.69/x
  3. Step 3: Cross multiply
    799.76x = 1,199.17 × 279.69
  4. Step 4: Simplify right side
    799.76x = 335,395.86
  5. Step 5: Solve for x
    x = 335,395.86/799.76
  6. Step 6: Final answer
    x = 419.37

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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.