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Finding the Fourth Proportional to 1,441.86, 2,163.84 and 576.42

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Solution

The fourth proportional to 1,441.86, 2,163.84 and 576.42 is: 865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.86 : 2,163.84 = 576.42 : x
  2. Step 2: Convert to fraction form
    1,441.86/2,163.84 = 576.42/x
  3. Step 3: Cross multiply
    1,441.86x = 2,163.84 × 576.42
  4. Step 4: Simplify right side
    1,441.86x = 1,247,280.65
  5. Step 5: Solve for x
    x = 1,247,280.65/1,441.86
  6. Step 6: Final answer
    x = 865.05

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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.