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Finding the Fourth Proportional to 842.09, 1,161.92 and 492.71

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Solution

The fourth proportional to 842.09, 1,161.92 and 492.71 is: 679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.09 : 1,161.92 = 492.71 : x
  2. Step 2: Convert to fraction form
    842.09/1,161.92 = 492.71/x
  3. Step 3: Cross multiply
    842.09x = 1,161.92 × 492.71
  4. Step 4: Simplify right side
    842.09x = 572,487.14
  5. Step 5: Solve for x
    x = 572,487.14/842.09
  6. Step 6: Final answer
    x = 679.84

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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.