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Finding the Fourth Proportional to 982.76, 1,475.61 and 851.39

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Solution

The fourth proportional to 982.76, 1,475.61 and 851.39 is: 1,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.76 : 1,475.61 = 851.39 : x
  2. Step 2: Convert to fraction form
    982.76/1,475.61 = 851.39/x
  3. Step 3: Cross multiply
    982.76x = 1,475.61 × 851.39
  4. Step 4: Simplify right side
    982.76x = 1,256,319.60
  5. Step 5: Solve for x
    x = 1,256,319.60/982.76
  6. Step 6: Final answer
    x = 1,278.36

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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.