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Finding the Fourth Proportional to 1,216.57, 1,821.72 and 804.43

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Solution

The fourth proportional to 1,216.57, 1,821.72 and 804.43 is: 1,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.57 : 1,821.72 = 804.43 : x
  2. Step 2: Convert to fraction form
    1,216.57/1,821.72 = 804.43/x
  3. Step 3: Cross multiply
    1,216.57x = 1,821.72 × 804.43
  4. Step 4: Simplify right side
    1,216.57x = 1,465,446.22
  5. Step 5: Solve for x
    x = 1,465,446.22/1,216.57
  6. Step 6: Final answer
    x = 1,204.57

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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.