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Finding the Fourth Proportional to 786.69, 1,179.63 and 324.38

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Solution

The fourth proportional to 786.69, 1,179.63 and 324.38 is: 486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.69 : 1,179.63 = 324.38 : x
  2. Step 2: Convert to fraction form
    786.69/1,179.63 = 324.38/x
  3. Step 3: Cross multiply
    786.69x = 1,179.63 × 324.38
  4. Step 4: Simplify right side
    786.69x = 382,651.33
  5. Step 5: Solve for x
    x = 382,651.33/786.69
  6. Step 6: Final answer
    x = 486.41

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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.