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Finding the Fourth Proportional to 793.19, 1,094.23 and 513.52

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Solution

The fourth proportional to 793.19, 1,094.23 and 513.52 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.19 : 1,094.23 = 513.52 : x
  2. Step 2: Convert to fraction form
    793.19/1,094.23 = 513.52/x
  3. Step 3: Cross multiply
    793.19x = 1,094.23 × 513.52
  4. Step 4: Simplify right side
    793.19x = 561,906.90
  5. Step 5: Solve for x
    x = 561,906.90/793.19
  6. Step 6: Final answer
    x = 708.41

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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.