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Finding the Fourth Proportional to 827.88, 1,142.28 and 533.22

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Solution

The fourth proportional to 827.88, 1,142.28 and 533.22 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.88 : 1,142.28 = 533.22 : x
  2. Step 2: Convert to fraction form
    827.88/1,142.28 = 533.22/x
  3. Step 3: Cross multiply
    827.88x = 1,142.28 × 533.22
  4. Step 4: Simplify right side
    827.88x = 609,086.54
  5. Step 5: Solve for x
    x = 609,086.54/827.88
  6. Step 6: Final answer
    x = 735.72

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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.