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Finding the Fourth Proportional to 1,820.45, 2,732.22 and 999.29

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Solution

The fourth proportional to 1,820.45, 2,732.22 and 999.29 is: 1,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.45 : 2,732.22 = 999.29 : x
  2. Step 2: Convert to fraction form
    1,820.45/2,732.22 = 999.29/x
  3. Step 3: Cross multiply
    1,820.45x = 2,732.22 × 999.29
  4. Step 4: Simplify right side
    1,820.45x = 2,730,286.95
  5. Step 5: Solve for x
    x = 2,730,286.95/1,820.45
  6. Step 6: Final answer
    x = 1,499.78

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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.