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Finding the Fourth Proportional to 827.45, 1,247.32 and 712.83

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Solution

The fourth proportional to 827.45, 1,247.32 and 712.83 is: 1,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.45 : 1,247.32 = 712.83 : x
  2. Step 2: Convert to fraction form
    827.45/1,247.32 = 712.83/x
  3. Step 3: Cross multiply
    827.45x = 1,247.32 × 712.83
  4. Step 4: Simplify right side
    827.45x = 889,134.69
  5. Step 5: Solve for x
    x = 889,134.69/827.45
  6. Step 6: Final answer
    x = 1,074.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.