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Finding the Fourth Proportional to 788.54, 1,087.83 and 540.27

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Solution

The fourth proportional to 788.54, 1,087.83 and 540.27 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.54 : 1,087.83 = 540.27 : x
  2. Step 2: Convert to fraction form
    788.54/1,087.83 = 540.27/x
  3. Step 3: Cross multiply
    788.54x = 1,087.83 × 540.27
  4. Step 4: Simplify right side
    788.54x = 587,721.91
  5. Step 5: Solve for x
    x = 587,721.91/788.54
  6. Step 6: Final answer
    x = 745.33

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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.