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Finding the Fourth Proportional to 788.33, 1,087.83 and 489.44

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Solution

The fourth proportional to 788.33, 1,087.83 and 489.44 is: 675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.33 : 1,087.83 = 489.44 : x
  2. Step 2: Convert to fraction form
    788.33/1,087.83 = 489.44/x
  3. Step 3: Cross multiply
    788.33x = 1,087.83 × 489.44
  4. Step 4: Simplify right side
    788.33x = 532,422.08
  5. Step 5: Solve for x
    x = 532,422.08/788.33
  6. Step 6: Final answer
    x = 675.38

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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.