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Finding the Fourth Proportional to 827.49, 1,142.01 and 533.46

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Solution

The fourth proportional to 827.49, 1,142.01 and 533.46 is: 736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.49 : 1,142.01 = 533.46 : x
  2. Step 2: Convert to fraction form
    827.49/1,142.01 = 533.46/x
  3. Step 3: Cross multiply
    827.49x = 1,142.01 × 533.46
  4. Step 4: Simplify right side
    827.49x = 609,216.65
  5. Step 5: Solve for x
    x = 609,216.65/827.49
  6. Step 6: Final answer
    x = 736.22

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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.