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Finding the Fourth Proportional to 976, 1,462.02 and 813.16

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Solution

The fourth proportional to 976, 1,462.02 and 813.16 is: 1,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,462.02 = 813.16 : x
  2. Step 2: Convert to fraction form
    976/1,462.02 = 813.16/x
  3. Step 3: Cross multiply
    976x = 1,462.02 × 813.16
  4. Step 4: Simplify right side
    976x = 1,188,856.18
  5. Step 5: Solve for x
    x = 1,188,856.18/976
  6. Step 6: Final answer
    x = 1,218.09

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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.