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Finding the Fourth Proportional to 1,214.73, 1,822.31 and 804.20

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Solution

The fourth proportional to 1,214.73, 1,822.31 and 804.20 is: 1,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.73 : 1,822.31 = 804.20 : x
  2. Step 2: Convert to fraction form
    1,214.73/1,822.31 = 804.20/x
  3. Step 3: Cross multiply
    1,214.73x = 1,822.31 × 804.20
  4. Step 4: Simplify right side
    1,214.73x = 1,465,488.57
  5. Step 5: Solve for x
    x = 1,465,488.57/1,214.73
  6. Step 6: Final answer
    x = 1,206.43

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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.