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Finding the Fourth Proportional to 855.44, 1,284.63 and 816.48

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Solution

The fourth proportional to 855.44, 1,284.63 and 816.48 is: 1,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.44 : 1,284.63 = 816.48 : x
  2. Step 2: Convert to fraction form
    855.44/1,284.63 = 816.48/x
  3. Step 3: Cross multiply
    855.44x = 1,284.63 × 816.48
  4. Step 4: Simplify right side
    855.44x = 1,048,878.53
  5. Step 5: Solve for x
    x = 1,048,878.53/855.44
  6. Step 6: Final answer
    x = 1,226.13

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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.