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Finding the Fourth Proportional to 788.09, 1,086.21 and 538.97

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Solution

The fourth proportional to 788.09, 1,086.21 and 538.97 is: 742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,086.21 = 538.97 : x
  2. Step 2: Convert to fraction form
    788.09/1,086.21 = 538.97/x
  3. Step 3: Cross multiply
    788.09x = 1,086.21 × 538.97
  4. Step 4: Simplify right side
    788.09x = 585,429.17
  5. Step 5: Solve for x
    x = 585,429.17/788.09
  6. Step 6: Final answer
    x = 742.85

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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.