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Finding the Fourth Proportional to 982.11, 1,355.29 and 589.26

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Solution

The fourth proportional to 982.11, 1,355.29 and 589.26 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.11 : 1,355.29 = 589.26 : x
  2. Step 2: Convert to fraction form
    982.11/1,355.29 = 589.26/x
  3. Step 3: Cross multiply
    982.11x = 1,355.29 × 589.26
  4. Step 4: Simplify right side
    982.11x = 798,618.19
  5. Step 5: Solve for x
    x = 798,618.19/982.11
  6. Step 6: Final answer
    x = 813.17

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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.