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Finding the Fourth Proportional to 827.04, 1,240.91 and 415.96

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Solution

The fourth proportional to 827.04, 1,240.91 and 415.96 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,240.91 = 415.96 : x
  2. Step 2: Convert to fraction form
    827.04/1,240.91 = 415.96/x
  3. Step 3: Cross multiply
    827.04x = 1,240.91 × 415.96
  4. Step 4: Simplify right side
    827.04x = 516,168.92
  5. Step 5: Solve for x
    x = 516,168.92/827.04
  6. Step 6: Final answer
    x = 624.12

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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.