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Finding the Fourth Proportional to 871.92, 1,204.03 and 650.49

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Solution

The fourth proportional to 871.92, 1,204.03 and 650.49 is: 898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,204.03 = 650.49 : x
  2. Step 2: Convert to fraction form
    871.92/1,204.03 = 650.49/x
  3. Step 3: Cross multiply
    871.92x = 1,204.03 × 650.49
  4. Step 4: Simplify right side
    871.92x = 783,201.83
  5. Step 5: Solve for x
    x = 783,201.83/871.92
  6. Step 6: Final answer
    x = 898.25

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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.