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Finding the Fourth Proportional to 871.20, 1,193.64 and 859.05

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Solution

The fourth proportional to 871.20, 1,193.64 and 859.05 is: 1,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.20 : 1,193.64 = 859.05 : x
  2. Step 2: Convert to fraction form
    871.20/1,193.64 = 859.05/x
  3. Step 3: Cross multiply
    871.20x = 1,193.64 × 859.05
  4. Step 4: Simplify right side
    871.20x = 1,025,396.44
  5. Step 5: Solve for x
    x = 1,025,396.44/871.20
  6. Step 6: Final answer
    x = 1,176.99

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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.