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Finding the Fourth Proportional to 893.30, 1,228.77 and 791.78

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Solution

The fourth proportional to 893.30, 1,228.77 and 791.78 is: 1,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.30 : 1,228.77 = 791.78 : x
  2. Step 2: Convert to fraction form
    893.30/1,228.77 = 791.78/x
  3. Step 3: Cross multiply
    893.30x = 1,228.77 × 791.78
  4. Step 4: Simplify right side
    893.30x = 972,909.37
  5. Step 5: Solve for x
    x = 972,909.37/893.30
  6. Step 6: Final answer
    x = 1,089.12

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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.