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Finding the Fourth Proportional to 792.99, 1,093.10 and 645.37

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Solution

The fourth proportional to 792.99, 1,093.10 and 645.37 is: 889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.99 : 1,093.10 = 645.37 : x
  2. Step 2: Convert to fraction form
    792.99/1,093.10 = 645.37/x
  3. Step 3: Cross multiply
    792.99x = 1,093.10 × 645.37
  4. Step 4: Simplify right side
    792.99x = 705,447.99
  5. Step 5: Solve for x
    x = 705,447.99/792.99
  6. Step 6: Final answer
    x = 889.61

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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.