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Finding the Fourth Proportional to 827.73, 1,142.29 and 496.19

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Solution

The fourth proportional to 827.73, 1,142.29 and 496.19 is: 684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.73 : 1,142.29 = 496.19 : x
  2. Step 2: Convert to fraction form
    827.73/1,142.29 = 496.19/x
  3. Step 3: Cross multiply
    827.73x = 1,142.29 × 496.19
  4. Step 4: Simplify right side
    827.73x = 566,792.88
  5. Step 5: Solve for x
    x = 566,792.88/827.73
  6. Step 6: Final answer
    x = 684.76

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.