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Finding the Fourth Proportional to 793.25, 1,093.12 and 571.79

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Solution

The fourth proportional to 793.25, 1,093.12 and 571.79 is: 787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.25 : 1,093.12 = 571.79 : x
  2. Step 2: Convert to fraction form
    793.25/1,093.12 = 571.79/x
  3. Step 3: Cross multiply
    793.25x = 1,093.12 × 571.79
  4. Step 4: Simplify right side
    793.25x = 625,035.08
  5. Step 5: Solve for x
    x = 625,035.08/793.25
  6. Step 6: Final answer
    x = 787.94

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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.