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Finding the Fourth Proportional to 976.73, 1,461.60 and 782.97

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Solution

The fourth proportional to 976.73, 1,461.60 and 782.97 is: 1,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.73 : 1,461.60 = 782.97 : x
  2. Step 2: Convert to fraction form
    976.73/1,461.60 = 782.97/x
  3. Step 3: Cross multiply
    976.73x = 1,461.60 × 782.97
  4. Step 4: Simplify right side
    976.73x = 1,144,388.95
  5. Step 5: Solve for x
    x = 1,144,388.95/976.73
  6. Step 6: Final answer
    x = 1,171.66

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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.