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Finding the Fourth Proportional to 789.26, 1,089.16 and 494.69

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Solution

The fourth proportional to 789.26, 1,089.16 and 494.69 is: 682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.26 : 1,089.16 = 494.69 : x
  2. Step 2: Convert to fraction form
    789.26/1,089.16 = 494.69/x
  3. Step 3: Cross multiply
    789.26x = 1,089.16 × 494.69
  4. Step 4: Simplify right side
    789.26x = 538,796.56
  5. Step 5: Solve for x
    x = 538,796.56/789.26
  6. Step 6: Final answer
    x = 682.66

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Double scale
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1.5x scale

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.