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Finding the Fourth Proportional to 827.68, 1,142.31 and 533.80

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Solution

The fourth proportional to 827.68, 1,142.31 and 533.80 is: 736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,142.31 = 533.80 : x
  2. Step 2: Convert to fraction form
    827.68/1,142.31 = 533.80/x
  3. Step 3: Cross multiply
    827.68x = 1,142.31 × 533.80
  4. Step 4: Simplify right side
    827.68x = 609,767.49
  5. Step 5: Solve for x
    x = 609,767.49/827.68
  6. Step 6: Final answer
    x = 736.72

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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.