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Finding the Fourth Proportional to 827.41, 1,141.07 and 640.30

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Solution

The fourth proportional to 827.41, 1,141.07 and 640.30 is: 883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.41 : 1,141.07 = 640.30 : x
  2. Step 2: Convert to fraction form
    827.41/1,141.07 = 640.30/x
  3. Step 3: Cross multiply
    827.41x = 1,141.07 × 640.30
  4. Step 4: Simplify right side
    827.41x = 730,621.07
  5. Step 5: Solve for x
    x = 730,621.07/827.41
  6. Step 6: Final answer
    x = 883.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.