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Finding the Fourth Proportional to 871.94, 1,305.59 and 821.36

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Solution

The fourth proportional to 871.94, 1,305.59 and 821.36 is: 1,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.94 : 1,305.59 = 821.36 : x
  2. Step 2: Convert to fraction form
    871.94/1,305.59 = 821.36/x
  3. Step 3: Cross multiply
    871.94x = 1,305.59 × 821.36
  4. Step 4: Simplify right side
    871.94x = 1,072,352.87
  5. Step 5: Solve for x
    x = 1,072,352.87/871.94
  6. Step 6: Final answer
    x = 1,229.85

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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.