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Finding the Fourth Proportional to 1,101.14, 1,651.75 and 451.82

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Solution

The fourth proportional to 1,101.14, 1,651.75 and 451.82 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.14 : 1,651.75 = 451.82 : x
  2. Step 2: Convert to fraction form
    1,101.14/1,651.75 = 451.82/x
  3. Step 3: Cross multiply
    1,101.14x = 1,651.75 × 451.82
  4. Step 4: Simplify right side
    1,101.14x = 746,285.43
  5. Step 5: Solve for x
    x = 746,285.43/1,101.14
  6. Step 6: Final answer
    x = 677.74

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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.