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Finding the Fourth Proportional to 827.98, 1,143.42 and 750.22

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Solution

The fourth proportional to 827.98, 1,143.42 and 750.22 is: 1,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,143.42 = 750.22 : x
  2. Step 2: Convert to fraction form
    827.98/1,143.42 = 750.22/x
  3. Step 3: Cross multiply
    827.98x = 1,143.42 × 750.22
  4. Step 4: Simplify right side
    827.98x = 857,816.55
  5. Step 5: Solve for x
    x = 857,816.55/827.98
  6. Step 6: Final answer
    x = 1,036.04

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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.