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Finding the Fourth Proportional to 811.75, 1,216.98 and 324.67

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Solution

The fourth proportional to 811.75, 1,216.98 and 324.67 is: 486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.75 : 1,216.98 = 324.67 : x
  2. Step 2: Convert to fraction form
    811.75/1,216.98 = 324.67/x
  3. Step 3: Cross multiply
    811.75x = 1,216.98 × 324.67
  4. Step 4: Simplify right side
    811.75x = 395,116.90
  5. Step 5: Solve for x
    x = 395,116.90/811.75
  6. Step 6: Final answer
    x = 486.75

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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.