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Finding the Fourth Proportional to 892.10, 1,230.44 and 644.24

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Solution

The fourth proportional to 892.10, 1,230.44 and 644.24 is: 888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.10 : 1,230.44 = 644.24 : x
  2. Step 2: Convert to fraction form
    892.10/1,230.44 = 644.24/x
  3. Step 3: Cross multiply
    892.10x = 1,230.44 × 644.24
  4. Step 4: Simplify right side
    892.10x = 792,689.29
  5. Step 5: Solve for x
    x = 792,689.29/892.10
  6. Step 6: Final answer
    x = 888.57

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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.