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Finding the Fourth Proportional to 881.83, 1,216.29 and 645.85

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Solution

The fourth proportional to 881.83, 1,216.29 and 645.85 is: 890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.83 : 1,216.29 = 645.85 : x
  2. Step 2: Convert to fraction form
    881.83/1,216.29 = 645.85/x
  3. Step 3: Cross multiply
    881.83x = 1,216.29 × 645.85
  4. Step 4: Simplify right side
    881.83x = 785,540.90
  5. Step 5: Solve for x
    x = 785,540.90/881.83
  6. Step 6: Final answer
    x = 890.81

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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.