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Finding the Fourth Proportional to 583.43, 800.17 and 553.73

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Solution

The fourth proportional to 583.43, 800.17 and 553.73 is: 759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.43 : 800.17 = 553.73 : x
  2. Step 2: Convert to fraction form
    583.43/800.17 = 553.73/x
  3. Step 3: Cross multiply
    583.43x = 800.17 × 553.73
  4. Step 4: Simplify right side
    583.43x = 443,072.75
  5. Step 5: Solve for x
    x = 443,072.75/583.43
  6. Step 6: Final answer
    x = 759.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.