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Finding the Fourth Proportional to 1,354.09, 2,028.70 and 775.75

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Solution

The fourth proportional to 1,354.09, 2,028.70 and 775.75 is: 1,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.09 : 2,028.70 = 775.75 : x
  2. Step 2: Convert to fraction form
    1,354.09/2,028.70 = 775.75/x
  3. Step 3: Cross multiply
    1,354.09x = 2,028.70 × 775.75
  4. Step 4: Simplify right side
    1,354.09x = 1,573,764.03
  5. Step 5: Solve for x
    x = 1,573,764.03/1,354.09
  6. Step 6: Final answer
    x = 1,162.23

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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.