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Finding the Fourth Proportional to 535.37, 799.22 and 511.73

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Solution

The fourth proportional to 535.37, 799.22 and 511.73 is: 763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.37 : 799.22 = 511.73 : x
  2. Step 2: Convert to fraction form
    535.37/799.22 = 511.73/x
  3. Step 3: Cross multiply
    535.37x = 799.22 × 511.73
  4. Step 4: Simplify right side
    535.37x = 408,983.57
  5. Step 5: Solve for x
    x = 408,983.57/535.37
  6. Step 6: Final answer
    x = 763.93

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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.