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Finding the Fourth Proportional to 786.83, 1,180.54 and 324.65

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Solution

The fourth proportional to 786.83, 1,180.54 and 324.65 is: 487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,180.54 = 324.65 : x
  2. Step 2: Convert to fraction form
    786.83/1,180.54 = 324.65/x
  3. Step 3: Cross multiply
    786.83x = 1,180.54 × 324.65
  4. Step 4: Simplify right side
    786.83x = 383,260.98
  5. Step 5: Solve for x
    x = 383,260.98/786.83
  6. Step 6: Final answer
    x = 487.09

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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.