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Finding the Fourth Proportional to 786.84, 1,179.30 and 324.48

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Solution

The fourth proportional to 786.84, 1,179.30 and 324.48 is: 486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.84 : 1,179.30 = 324.48 : x
  2. Step 2: Convert to fraction form
    786.84/1,179.30 = 324.48/x
  3. Step 3: Cross multiply
    786.84x = 1,179.30 × 324.48
  4. Step 4: Simplify right side
    786.84x = 382,659.26
  5. Step 5: Solve for x
    x = 382,659.26/786.84
  6. Step 6: Final answer
    x = 486.32

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Double scale
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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.