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Finding the Fourth Proportional to 804.21, 1,206.31 and 316.99

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Solution

The fourth proportional to 804.21, 1,206.31 and 316.99 is: 475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.21 : 1,206.31 = 316.99 : x
  2. Step 2: Convert to fraction form
    804.21/1,206.31 = 316.99/x
  3. Step 3: Cross multiply
    804.21x = 1,206.31 × 316.99
  4. Step 4: Simplify right side
    804.21x = 382,388.21
  5. Step 5: Solve for x
    x = 382,388.21/804.21
  6. Step 6: Final answer
    x = 475.48

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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.