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Finding the Fourth Proportional to 982.26, 1,470.96 and 785.43

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Solution

The fourth proportional to 982.26, 1,470.96 and 785.43 is: 1,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.26 : 1,470.96 = 785.43 : x
  2. Step 2: Convert to fraction form
    982.26/1,470.96 = 785.43/x
  3. Step 3: Cross multiply
    982.26x = 1,470.96 × 785.43
  4. Step 4: Simplify right side
    982.26x = 1,155,336.11
  5. Step 5: Solve for x
    x = 1,155,336.11/982.26
  6. Step 6: Final answer
    x = 1,176.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.