Home / 2,246.23-3,369.62-765.70

Finding the Fourth Proportional to 2,246.23, 3,369.62 and 765.70

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Solution

The fourth proportional to 2,246.23, 3,369.62 and 765.70 is: 1,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.23 : 3,369.62 = 765.70 : x
  2. Step 2: Convert to fraction form
    2,246.23/3,369.62 = 765.70/x
  3. Step 3: Cross multiply
    2,246.23x = 3,369.62 × 765.70
  4. Step 4: Simplify right side
    2,246.23x = 2,580,118.03
  5. Step 5: Solve for x
    x = 2,580,118.03/2,246.23
  6. Step 6: Final answer
    x = 1,148.64

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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.