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Finding the Fourth Proportional to 976.82, 1,458.09 and 847.73

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Solution

The fourth proportional to 976.82, 1,458.09 and 847.73 is: 1,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.82 : 1,458.09 = 847.73 : x
  2. Step 2: Convert to fraction form
    976.82/1,458.09 = 847.73/x
  3. Step 3: Cross multiply
    976.82x = 1,458.09 × 847.73
  4. Step 4: Simplify right side
    976.82x = 1,236,059.35
  5. Step 5: Solve for x
    x = 1,236,059.35/976.82
  6. Step 6: Final answer
    x = 1,265.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.