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Finding the Fourth Proportional to 827.58, 1,142.02 and 496.19

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Solution

The fourth proportional to 827.58, 1,142.02 and 496.19 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.58 : 1,142.02 = 496.19 : x
  2. Step 2: Convert to fraction form
    827.58/1,142.02 = 496.19/x
  3. Step 3: Cross multiply
    827.58x = 1,142.02 × 496.19
  4. Step 4: Simplify right side
    827.58x = 566,650.71
  5. Step 5: Solve for x
    x = 566,650.71/827.58
  6. Step 6: Final answer
    x = 684.71

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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.