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Finding the Fourth Proportional to 811.06, 1,215.33 and 323.89

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Solution

The fourth proportional to 811.06, 1,215.33 and 323.89 is: 485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.06 : 1,215.33 = 323.89 : x
  2. Step 2: Convert to fraction form
    811.06/1,215.33 = 323.89/x
  3. Step 3: Cross multiply
    811.06x = 1,215.33 × 323.89
  4. Step 4: Simplify right side
    811.06x = 393,633.23
  5. Step 5: Solve for x
    x = 393,633.23/811.06
  6. Step 6: Final answer
    x = 485.33

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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.