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Finding the Fourth Proportional to 982.39, 1,355.13 and 613.75

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Solution

The fourth proportional to 982.39, 1,355.13 and 613.75 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.39 : 1,355.13 = 613.75 : x
  2. Step 2: Convert to fraction form
    982.39/1,355.13 = 613.75/x
  3. Step 3: Cross multiply
    982.39x = 1,355.13 × 613.75
  4. Step 4: Simplify right side
    982.39x = 831,711.04
  5. Step 5: Solve for x
    x = 831,711.04/982.39
  6. Step 6: Final answer
    x = 846.62

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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.