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Finding the Fourth Proportional to 976.68, 1,463.13 and 513.90

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Solution

The fourth proportional to 976.68, 1,463.13 and 513.90 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,463.13 = 513.90 : x
  2. Step 2: Convert to fraction form
    976.68/1,463.13 = 513.90/x
  3. Step 3: Cross multiply
    976.68x = 1,463.13 × 513.90
  4. Step 4: Simplify right side
    976.68x = 751,902.51
  5. Step 5: Solve for x
    x = 751,902.51/976.68
  6. Step 6: Final answer
    x = 769.86

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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.