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Finding the Fourth Proportional to 827.22, 1,240.02 and 340.41

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Solution

The fourth proportional to 827.22, 1,240.02 and 340.41 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,240.02 = 340.41 : x
  2. Step 2: Convert to fraction form
    827.22/1,240.02 = 340.41/x
  3. Step 3: Cross multiply
    827.22x = 1,240.02 × 340.41
  4. Step 4: Simplify right side
    827.22x = 422,115.21
  5. Step 5: Solve for x
    x = 422,115.21/827.22
  6. Step 6: Final answer
    x = 510.28

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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.