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Finding the Fourth Proportional to 855.45, 1,181.33 and 809.43

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Solution

The fourth proportional to 855.45, 1,181.33 and 809.43 is: 1,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.45 : 1,181.33 = 809.43 : x
  2. Step 2: Convert to fraction form
    855.45/1,181.33 = 809.43/x
  3. Step 3: Cross multiply
    855.45x = 1,181.33 × 809.43
  4. Step 4: Simplify right side
    855.45x = 956,199.89
  5. Step 5: Solve for x
    x = 956,199.89/855.45
  6. Step 6: Final answer
    x = 1,117.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.