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Finding the Fourth Proportional to 1,779.56, 2,669.64 and 481.16

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Solution

The fourth proportional to 1,779.56, 2,669.64 and 481.16 is: 721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.56 : 2,669.64 = 481.16 : x
  2. Step 2: Convert to fraction form
    1,779.56/2,669.64 = 481.16/x
  3. Step 3: Cross multiply
    1,779.56x = 2,669.64 × 481.16
  4. Step 4: Simplify right side
    1,779.56x = 1,284,523.98
  5. Step 5: Solve for x
    x = 1,284,523.98/1,779.56
  6. Step 6: Final answer
    x = 721.82

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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.