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Finding the Fourth Proportional to 863.71, 1,297.23 and 824.83

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Solution

The fourth proportional to 863.71, 1,297.23 and 824.83 is: 1,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.71 : 1,297.23 = 824.83 : x
  2. Step 2: Convert to fraction form
    863.71/1,297.23 = 824.83/x
  3. Step 3: Cross multiply
    863.71x = 1,297.23 × 824.83
  4. Step 4: Simplify right side
    863.71x = 1,069,990.98
  5. Step 5: Solve for x
    x = 1,069,990.98/863.71
  6. Step 6: Final answer
    x = 1,238.83

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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.