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Finding the Fourth Proportional to 2,406.15, 3,609.19 and 762.70

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Solution

The fourth proportional to 2,406.15, 3,609.19 and 762.70 is: 1,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.15 : 3,609.19 = 762.70 : x
  2. Step 2: Convert to fraction form
    2,406.15/3,609.19 = 762.70/x
  3. Step 3: Cross multiply
    2,406.15x = 3,609.19 × 762.70
  4. Step 4: Simplify right side
    2,406.15x = 2,752,729.21
  5. Step 5: Solve for x
    x = 2,752,729.21/2,406.15
  6. Step 6: Final answer
    x = 1,144.04

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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.