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Finding the Fourth Proportional to 976.24, 1,453.21 and 961.66

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Solution

The fourth proportional to 976.24, 1,453.21 and 961.66 is: 1,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.24 : 1,453.21 = 961.66 : x
  2. Step 2: Convert to fraction form
    976.24/1,453.21 = 961.66/x
  3. Step 3: Cross multiply
    976.24x = 1,453.21 × 961.66
  4. Step 4: Simplify right side
    976.24x = 1,397,493.93
  5. Step 5: Solve for x
    x = 1,397,493.93/976.24
  6. Step 6: Final answer
    x = 1,431.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.