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Finding the Fourth Proportional to 793.17, 1,093.62 and 557.25

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Solution

The fourth proportional to 793.17, 1,093.62 and 557.25 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.17 : 1,093.62 = 557.25 : x
  2. Step 2: Convert to fraction form
    793.17/1,093.62 = 557.25/x
  3. Step 3: Cross multiply
    793.17x = 1,093.62 × 557.25
  4. Step 4: Simplify right side
    793.17x = 609,419.75
  5. Step 5: Solve for x
    x = 609,419.75/793.17
  6. Step 6: Final answer
    x = 768.33

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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.