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Finding the Fourth Proportional to 827.92, 1,242.28 and 365.64

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Solution

The fourth proportional to 827.92, 1,242.28 and 365.64 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.92 : 1,242.28 = 365.64 : x
  2. Step 2: Convert to fraction form
    827.92/1,242.28 = 365.64/x
  3. Step 3: Cross multiply
    827.92x = 1,242.28 × 365.64
  4. Step 4: Simplify right side
    827.92x = 454,227.26
  5. Step 5: Solve for x
    x = 454,227.26/827.92
  6. Step 6: Final answer
    x = 548.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.