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Finding the Fourth Proportional to 2,519.65, 3,779.48 and 764.67

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Solution

The fourth proportional to 2,519.65, 3,779.48 and 764.67 is: 1,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.65 : 3,779.48 = 764.67 : x
  2. Step 2: Convert to fraction form
    2,519.65/3,779.48 = 764.67/x
  3. Step 3: Cross multiply
    2,519.65x = 3,779.48 × 764.67
  4. Step 4: Simplify right side
    2,519.65x = 2,890,047.43
  5. Step 5: Solve for x
    x = 2,890,047.43/2,519.65
  6. Step 6: Final answer
    x = 1,147.00

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1.5x scale

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.