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Finding the Fourth Proportional to 982.07, 1,355.26 and 589.09

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Solution

The fourth proportional to 982.07, 1,355.26 and 589.09 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.07 : 1,355.26 = 589.09 : x
  2. Step 2: Convert to fraction form
    982.07/1,355.26 = 589.09/x
  3. Step 3: Cross multiply
    982.07x = 1,355.26 × 589.09
  4. Step 4: Simplify right side
    982.07x = 798,370.11
  5. Step 5: Solve for x
    x = 798,370.11/982.07
  6. Step 6: Final answer
    x = 812.95

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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.