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Finding the Fourth Proportional to 976.19, 1,462.99 and 513.02

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Solution

The fourth proportional to 976.19, 1,462.99 and 513.02 is: 768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.19 : 1,462.99 = 513.02 : x
  2. Step 2: Convert to fraction form
    976.19/1,462.99 = 513.02/x
  3. Step 3: Cross multiply
    976.19x = 1,462.99 × 513.02
  4. Step 4: Simplify right side
    976.19x = 750,540.56
  5. Step 5: Solve for x
    x = 750,540.56/976.19
  6. Step 6: Final answer
    x = 768.85

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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.