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Finding the Fourth Proportional to 809.63, 1,119.33 and 775.20

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Solution

The fourth proportional to 809.63, 1,119.33 and 775.20 is: 1,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,119.33 = 775.20 : x
  2. Step 2: Convert to fraction form
    809.63/1,119.33 = 775.20/x
  3. Step 3: Cross multiply
    809.63x = 1,119.33 × 775.20
  4. Step 4: Simplify right side
    809.63x = 867,704.62
  5. Step 5: Solve for x
    x = 867,704.62/809.63
  6. Step 6: Final answer
    x = 1,071.73

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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.