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Finding the Fourth Proportional to 811.96, 1,217.09 and 538.25

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Solution

The fourth proportional to 811.96, 1,217.09 and 538.25 is: 806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.96 : 1,217.09 = 538.25 : x
  2. Step 2: Convert to fraction form
    811.96/1,217.09 = 538.25/x
  3. Step 3: Cross multiply
    811.96x = 1,217.09 × 538.25
  4. Step 4: Simplify right side
    811.96x = 655,093.95
  5. Step 5: Solve for x
    x = 655,093.95/811.96
  6. Step 6: Final answer
    x = 806.81

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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.