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Finding the Fourth Proportional to 769.64, 1,062.86 and 644.04

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Solution

The fourth proportional to 769.64, 1,062.86 and 644.04 is: 889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.64 : 1,062.86 = 644.04 : x
  2. Step 2: Convert to fraction form
    769.64/1,062.86 = 644.04/x
  3. Step 3: Cross multiply
    769.64x = 1,062.86 × 644.04
  4. Step 4: Simplify right side
    769.64x = 684,524.35
  5. Step 5: Solve for x
    x = 684,524.35/769.64
  6. Step 6: Final answer
    x = 889.41

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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.