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Finding the Fourth Proportional to 1,102.05, 1,520.73 and 629.85

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Solution

The fourth proportional to 1,102.05, 1,520.73 and 629.85 is: 869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.05 : 1,520.73 = 629.85 : x
  2. Step 2: Convert to fraction form
    1,102.05/1,520.73 = 629.85/x
  3. Step 3: Cross multiply
    1,102.05x = 1,520.73 × 629.85
  4. Step 4: Simplify right side
    1,102.05x = 957,839.86
  5. Step 5: Solve for x
    x = 957,839.86/1,102.05
  6. Step 6: Final answer
    x = 869.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.