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Finding the Fourth Proportional to 883.90, 1,214.30 and 791.83

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Solution

The fourth proportional to 883.90, 1,214.30 and 791.83 is: 1,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,214.30 = 791.83 : x
  2. Step 2: Convert to fraction form
    883.90/1,214.30 = 791.83/x
  3. Step 3: Cross multiply
    883.90x = 1,214.30 × 791.83
  4. Step 4: Simplify right side
    883.90x = 961,519.17
  5. Step 5: Solve for x
    x = 961,519.17/883.90
  6. Step 6: Final answer
    x = 1,087.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.