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Finding the Fourth Proportional to 1,354.11, 2,028.45 and 622.68

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Solution

The fourth proportional to 1,354.11, 2,028.45 and 622.68 is: 932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.11 : 2,028.45 = 622.68 : x
  2. Step 2: Convert to fraction form
    1,354.11/2,028.45 = 622.68/x
  3. Step 3: Cross multiply
    1,354.11x = 2,028.45 × 622.68
  4. Step 4: Simplify right side
    1,354.11x = 1,263,075.25
  5. Step 5: Solve for x
    x = 1,263,075.25/1,354.11
  6. Step 6: Final answer
    x = 932.77

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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.