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Finding the Fourth Proportional to 1,779.22, 2,668.83 and 1,504.50

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Solution

The fourth proportional to 1,779.22, 2,668.83 and 1,504.50 is: 2,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.22 : 2,668.83 = 1,504.50 : x
  2. Step 2: Convert to fraction form
    1,779.22/2,668.83 = 1,504.50/x
  3. Step 3: Cross multiply
    1,779.22x = 2,668.83 × 1,504.50
  4. Step 4: Simplify right side
    1,779.22x = 4,015,254.74
  5. Step 5: Solve for x
    x = 4,015,254.74/1,779.22
  6. Step 6: Final answer
    x = 2,256.75

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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.