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Finding the Fourth Proportional to 976.98, 1,463.34 and 811.62

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Solution

The fourth proportional to 976.98, 1,463.34 and 811.62 is: 1,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.98 : 1,463.34 = 811.62 : x
  2. Step 2: Convert to fraction form
    976.98/1,463.34 = 811.62/x
  3. Step 3: Cross multiply
    976.98x = 1,463.34 × 811.62
  4. Step 4: Simplify right side
    976.98x = 1,187,676.01
  5. Step 5: Solve for x
    x = 1,187,676.01/976.98
  6. Step 6: Final answer
    x = 1,215.66

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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.