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Finding the Fourth Proportional to 789.65, 1,090.22 and 494.94

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Solution

The fourth proportional to 789.65, 1,090.22 and 494.94 is: 683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.65 : 1,090.22 = 494.94 : x
  2. Step 2: Convert to fraction form
    789.65/1,090.22 = 494.94/x
  3. Step 3: Cross multiply
    789.65x = 1,090.22 × 494.94
  4. Step 4: Simplify right side
    789.65x = 539,591.01
  5. Step 5: Solve for x
    x = 539,591.01/789.65
  6. Step 6: Final answer
    x = 683.33

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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.