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Finding the Fourth Proportional to 811.14, 1,214.55 and 636.90

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Solution

The fourth proportional to 811.14, 1,214.55 and 636.90 is: 953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.14 : 1,214.55 = 636.90 : x
  2. Step 2: Convert to fraction form
    811.14/1,214.55 = 636.90/x
  3. Step 3: Cross multiply
    811.14x = 1,214.55 × 636.90
  4. Step 4: Simplify right side
    811.14x = 773,546.90
  5. Step 5: Solve for x
    x = 773,546.90/811.14
  6. Step 6: Final answer
    x = 953.65

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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.