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Finding the Fourth Proportional to 827.88, 1,240.20 and 480.49

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Solution

The fourth proportional to 827.88, 1,240.20 and 480.49 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.88 : 1,240.20 = 480.49 : x
  2. Step 2: Convert to fraction form
    827.88/1,240.20 = 480.49/x
  3. Step 3: Cross multiply
    827.88x = 1,240.20 × 480.49
  4. Step 4: Simplify right side
    827.88x = 595,902.21
  5. Step 5: Solve for x
    x = 595,902.21/827.88
  6. Step 6: Final answer
    x = 719.79

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Half scale
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Double scale
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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.