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Finding the Fourth Proportional to 827.44, 1,240.78 and 416.46

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Solution

The fourth proportional to 827.44, 1,240.78 and 416.46 is: 624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.44 : 1,240.78 = 416.46 : x
  2. Step 2: Convert to fraction form
    827.44/1,240.78 = 416.46/x
  3. Step 3: Cross multiply
    827.44x = 1,240.78 × 416.46
  4. Step 4: Simplify right side
    827.44x = 516,735.24
  5. Step 5: Solve for x
    x = 516,735.24/827.44
  6. Step 6: Final answer
    x = 624.50

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Half scale
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Double scale
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Similar ratio
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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.