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Finding the Fourth Proportional to 827.71, 1,142.06 and 496.01

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Solution

The fourth proportional to 827.71, 1,142.06 and 496.01 is: 684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.71 : 1,142.06 = 496.01 : x
  2. Step 2: Convert to fraction form
    827.71/1,142.06 = 496.01/x
  3. Step 3: Cross multiply
    827.71x = 1,142.06 × 496.01
  4. Step 4: Simplify right side
    827.71x = 566,473.18
  5. Step 5: Solve for x
    x = 566,473.18/827.71
  6. Step 6: Final answer
    x = 684.39

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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.