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Finding the Fourth Proportional to 811.63, 1,217.29 and 263.68

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Solution

The fourth proportional to 811.63, 1,217.29 and 263.68 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.63 : 1,217.29 = 263.68 : x
  2. Step 2: Convert to fraction form
    811.63/1,217.29 = 263.68/x
  3. Step 3: Cross multiply
    811.63x = 1,217.29 × 263.68
  4. Step 4: Simplify right side
    811.63x = 320,975.03
  5. Step 5: Solve for x
    x = 320,975.03/811.63
  6. Step 6: Final answer
    x = 395.47

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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.