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Finding the Fourth Proportional to 827.52, 1,143.72 and 733.56

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Solution

The fourth proportional to 827.52, 1,143.72 and 733.56 is: 1,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,143.72 = 733.56 : x
  2. Step 2: Convert to fraction form
    827.52/1,143.72 = 733.56/x
  3. Step 3: Cross multiply
    827.52x = 1,143.72 × 733.56
  4. Step 4: Simplify right side
    827.52x = 838,987.24
  5. Step 5: Solve for x
    x = 838,987.24/827.52
  6. Step 6: Final answer
    x = 1,013.86

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1.5x scale

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.