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Finding the Fourth Proportional to 827.27, 1,239.32 and 415.92

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Solution

The fourth proportional to 827.27, 1,239.32 and 415.92 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.27 : 1,239.32 = 415.92 : x
  2. Step 2: Convert to fraction form
    827.27/1,239.32 = 415.92/x
  3. Step 3: Cross multiply
    827.27x = 1,239.32 × 415.92
  4. Step 4: Simplify right side
    827.27x = 515,455.89
  5. Step 5: Solve for x
    x = 515,455.89/827.27
  6. Step 6: Final answer
    x = 623.08

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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.