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Finding the Fourth Proportional to 950.36, 1,426.34 and 820.76

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Solution

The fourth proportional to 950.36, 1,426.34 and 820.76 is: 1,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.36 : 1,426.34 = 820.76 : x
  2. Step 2: Convert to fraction form
    950.36/1,426.34 = 820.76/x
  3. Step 3: Cross multiply
    950.36x = 1,426.34 × 820.76
  4. Step 4: Simplify right side
    950.36x = 1,170,677.74
  5. Step 5: Solve for x
    x = 1,170,677.74/950.36
  6. Step 6: Final answer
    x = 1,231.83

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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.