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Finding the Fourth Proportional to 982.25, 1,355.80 and 584.20

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Solution

The fourth proportional to 982.25, 1,355.80 and 584.20 is: 806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.25 : 1,355.80 = 584.20 : x
  2. Step 2: Convert to fraction form
    982.25/1,355.80 = 584.20/x
  3. Step 3: Cross multiply
    982.25x = 1,355.80 × 584.20
  4. Step 4: Simplify right side
    982.25x = 792,054.61
  5. Step 5: Solve for x
    x = 792,054.61/982.25
  6. Step 6: Final answer
    x = 806.36

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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.