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Finding the Fourth Proportional to 803.82, 1,109.09 and 489.25

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Solution

The fourth proportional to 803.82, 1,109.09 and 489.25 is: 675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,109.09 = 489.25 : x
  2. Step 2: Convert to fraction form
    803.82/1,109.09 = 489.25/x
  3. Step 3: Cross multiply
    803.82x = 1,109.09 × 489.25
  4. Step 4: Simplify right side
    803.82x = 542,622.28
  5. Step 5: Solve for x
    x = 542,622.28/803.82
  6. Step 6: Final answer
    x = 675.05

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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.