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Finding the Fourth Proportional to 827.99, 1,240.83 and 622.32

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Solution

The fourth proportional to 827.99, 1,240.83 and 622.32 is: 932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.99 : 1,240.83 = 622.32 : x
  2. Step 2: Convert to fraction form
    827.99/1,240.83 = 622.32/x
  3. Step 3: Cross multiply
    827.99x = 1,240.83 × 622.32
  4. Step 4: Simplify right side
    827.99x = 772,187.12
  5. Step 5: Solve for x
    x = 772,187.12/827.99
  6. Step 6: Final answer
    x = 932.61

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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.