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Finding the Fourth Proportional to 786.36, 1,178.61 and 323.61

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Solution

The fourth proportional to 786.36, 1,178.61 and 323.61 is: 485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.36 : 1,178.61 = 323.61 : x
  2. Step 2: Convert to fraction form
    786.36/1,178.61 = 323.61/x
  3. Step 3: Cross multiply
    786.36x = 1,178.61 × 323.61
  4. Step 4: Simplify right side
    786.36x = 381,409.98
  5. Step 5: Solve for x
    x = 381,409.98/786.36
  6. Step 6: Final answer
    x = 485.03

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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.