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Finding the Fourth Proportional to 811.02, 1,217 and 324.48

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Solution

The fourth proportional to 811.02, 1,217 and 324.48 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,217 = 324.48 : x
  2. Step 2: Convert to fraction form
    811.02/1,217 = 324.48/x
  3. Step 3: Cross multiply
    811.02x = 1,217 × 324.48
  4. Step 4: Simplify right side
    811.02x = 394,892.16
  5. Step 5: Solve for x
    x = 394,892.16/811.02
  6. Step 6: Final answer
    x = 486.91

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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.