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Finding the Fourth Proportional to 596.80, 889.82 and 576.42

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Solution

The fourth proportional to 596.80, 889.82 and 576.42 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.80 : 889.82 = 576.42 : x
  2. Step 2: Convert to fraction form
    596.80/889.82 = 576.42/x
  3. Step 3: Cross multiply
    596.80x = 889.82 × 576.42
  4. Step 4: Simplify right side
    596.80x = 512,910.04
  5. Step 5: Solve for x
    x = 512,910.04/596.80
  6. Step 6: Final answer
    x = 859.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.