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Finding the Fourth Proportional to 871.37, 1,204.05 and 648.20

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Solution

The fourth proportional to 871.37, 1,204.05 and 648.20 is: 895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.37 : 1,204.05 = 648.20 : x
  2. Step 2: Convert to fraction form
    871.37/1,204.05 = 648.20/x
  3. Step 3: Cross multiply
    871.37x = 1,204.05 × 648.20
  4. Step 4: Simplify right side
    871.37x = 780,464.98
  5. Step 5: Solve for x
    x = 780,464.98/871.37
  6. Step 6: Final answer
    x = 895.68

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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.