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Finding the Fourth Proportional to 827.93, 1,142.49 and 496.37

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Solution

The fourth proportional to 827.93, 1,142.49 and 496.37 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.93 : 1,142.49 = 496.37 : x
  2. Step 2: Convert to fraction form
    827.93/1,142.49 = 496.37/x
  3. Step 3: Cross multiply
    827.93x = 1,142.49 × 496.37
  4. Step 4: Simplify right side
    827.93x = 567,100.62
  5. Step 5: Solve for x
    x = 567,100.62/827.93
  6. Step 6: Final answer
    x = 684.96

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1.5x scale

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.