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Finding the Fourth Proportional to 1,800.07, 2,700.17 and 629.84

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Solution

The fourth proportional to 1,800.07, 2,700.17 and 629.84 is: 944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.07 : 2,700.17 = 629.84 : x
  2. Step 2: Convert to fraction form
    1,800.07/2,700.17 = 629.84/x
  3. Step 3: Cross multiply
    1,800.07x = 2,700.17 × 629.84
  4. Step 4: Simplify right side
    1,800.07x = 1,700,675.07
  5. Step 5: Solve for x
    x = 1,700,675.07/1,800.07
  6. Step 6: Final answer
    x = 944.78

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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.