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Finding the Fourth Proportional to 855.46, 1,284.63 and 811.62

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Solution

The fourth proportional to 855.46, 1,284.63 and 811.62 is: 1,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.46 : 1,284.63 = 811.62 : x
  2. Step 2: Convert to fraction form
    855.46/1,284.63 = 811.62/x
  3. Step 3: Cross multiply
    855.46x = 1,284.63 × 811.62
  4. Step 4: Simplify right side
    855.46x = 1,042,631.40
  5. Step 5: Solve for x
    x = 1,042,631.40/855.46
  6. Step 6: Final answer
    x = 1,218.80

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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.