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Finding the Fourth Proportional to 827.38, 1,240.83 and 416.23

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Solution

The fourth proportional to 827.38, 1,240.83 and 416.23 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.38 : 1,240.83 = 416.23 : x
  2. Step 2: Convert to fraction form
    827.38/1,240.83 = 416.23/x
  3. Step 3: Cross multiply
    827.38x = 1,240.83 × 416.23
  4. Step 4: Simplify right side
    827.38x = 516,470.67
  5. Step 5: Solve for x
    x = 516,470.67/827.38
  6. Step 6: Final answer
    x = 624.22

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1.5x scale

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.