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Finding the Fourth Proportional to 982.90, 1,356.15 and 584.54

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Solution

The fourth proportional to 982.90, 1,356.15 and 584.54 is: 806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.90 : 1,356.15 = 584.54 : x
  2. Step 2: Convert to fraction form
    982.90/1,356.15 = 584.54/x
  3. Step 3: Cross multiply
    982.90x = 1,356.15 × 584.54
  4. Step 4: Simplify right side
    982.90x = 792,714.22
  5. Step 5: Solve for x
    x = 792,714.22/982.90
  6. Step 6: Final answer
    x = 806.51

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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.