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Finding the Fourth Proportional to 809.60, 1,103 and 809.60

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Solution

The fourth proportional to 809.60, 1,103 and 809.60 is: 1,103

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.60 : 1,103 = 809.60 : x
  2. Step 2: Convert to fraction form
    809.60/1,103 = 809.60/x
  3. Step 3: Cross multiply
    809.60x = 1,103 × 809.60
  4. Step 4: Simplify right side
    809.60x = 892,988.80
  5. Step 5: Solve for x
    x = 892,988.80/809.60
  6. Step 6: Final answer
    x = 1,103

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.