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Finding the Fourth Proportional to 871.02, 1,305.72 and 822.69

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Solution

The fourth proportional to 871.02, 1,305.72 and 822.69 is: 1,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.02 : 1,305.72 = 822.69 : x
  2. Step 2: Convert to fraction form
    871.02/1,305.72 = 822.69/x
  3. Step 3: Cross multiply
    871.02x = 1,305.72 × 822.69
  4. Step 4: Simplify right side
    871.02x = 1,074,202.79
  5. Step 5: Solve for x
    x = 1,074,202.79/871.02
  6. Step 6: Final answer
    x = 1,233.27

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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.