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Finding the Fourth Proportional to 793.05, 1,093.24 and 513.18

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Solution

The fourth proportional to 793.05, 1,093.24 and 513.18 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.05 : 1,093.24 = 513.18 : x
  2. Step 2: Convert to fraction form
    793.05/1,093.24 = 513.18/x
  3. Step 3: Cross multiply
    793.05x = 1,093.24 × 513.18
  4. Step 4: Simplify right side
    793.05x = 561,028.90
  5. Step 5: Solve for x
    x = 561,028.90/793.05
  6. Step 6: Final answer
    x = 707.43

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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.