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Finding the Fourth Proportional to 892.85, 1,232.26 and 644.51

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Solution

The fourth proportional to 892.85, 1,232.26 and 644.51 is: 889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.85 : 1,232.26 = 644.51 : x
  2. Step 2: Convert to fraction form
    892.85/1,232.26 = 644.51/x
  3. Step 3: Cross multiply
    892.85x = 1,232.26 × 644.51
  4. Step 4: Simplify right side
    892.85x = 794,205.36
  5. Step 5: Solve for x
    x = 794,205.36/892.85
  6. Step 6: Final answer
    x = 889.52

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1.5x scale

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.