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Finding the Fourth Proportional to 1,199, 1,799.22 and 515

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Solution

The fourth proportional to 1,199, 1,799.22 and 515 is: 772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199 : 1,799.22 = 515 : x
  2. Step 2: Convert to fraction form
    1,199/1,799.22 = 515/x
  3. Step 3: Cross multiply
    1,199x = 1,799.22 × 515
  4. Step 4: Simplify right side
    1,199x = 926,598.30
  5. Step 5: Solve for x
    x = 926,598.30/1,199
  6. Step 6: Final answer
    x = 772.81

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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.