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Finding the Fourth Proportional to 855.22, 1,284.05 and 816.07

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Solution

The fourth proportional to 855.22, 1,284.05 and 816.07 is: 1,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.22 : 1,284.05 = 816.07 : x
  2. Step 2: Convert to fraction form
    855.22/1,284.05 = 816.07/x
  3. Step 3: Cross multiply
    855.22x = 1,284.05 × 816.07
  4. Step 4: Simplify right side
    855.22x = 1,047,874.68
  5. Step 5: Solve for x
    x = 1,047,874.68/855.22
  6. Step 6: Final answer
    x = 1,225.27

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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.