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Finding the Fourth Proportional to 827.69, 1,142.01 and 496.25

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Solution

The fourth proportional to 827.69, 1,142.01 and 496.25 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.69 : 1,142.01 = 496.25 : x
  2. Step 2: Convert to fraction form
    827.69/1,142.01 = 496.25/x
  3. Step 3: Cross multiply
    827.69x = 1,142.01 × 496.25
  4. Step 4: Simplify right side
    827.69x = 566,722.46
  5. Step 5: Solve for x
    x = 566,722.46/827.69
  6. Step 6: Final answer
    x = 684.70

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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.