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Finding the Fourth Proportional to 976.74, 1,461.96 and 827.34

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Solution

The fourth proportional to 976.74, 1,461.96 and 827.34 is: 1,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.74 : 1,461.96 = 827.34 : x
  2. Step 2: Convert to fraction form
    976.74/1,461.96 = 827.34/x
  3. Step 3: Cross multiply
    976.74x = 1,461.96 × 827.34
  4. Step 4: Simplify right side
    976.74x = 1,209,537.99
  5. Step 5: Solve for x
    x = 1,209,537.99/976.74
  6. Step 6: Final answer
    x = 1,238.34

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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.