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Finding the Fourth Proportional to 804.12, 1,205.36 and 316.80

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Solution

The fourth proportional to 804.12, 1,205.36 and 316.80 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,205.36 = 316.80 : x
  2. Step 2: Convert to fraction form
    804.12/1,205.36 = 316.80/x
  3. Step 3: Cross multiply
    804.12x = 1,205.36 × 316.80
  4. Step 4: Simplify right side
    804.12x = 381,858.05
  5. Step 5: Solve for x
    x = 381,858.05/804.12
  6. Step 6: Final answer
    x = 474.88

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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.