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Finding the Fourth Proportional to 842.23, 1,161.97 and 840.94

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Solution

The fourth proportional to 842.23, 1,161.97 and 840.94 is: 1,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,161.97 = 840.94 : x
  2. Step 2: Convert to fraction form
    842.23/1,161.97 = 840.94/x
  3. Step 3: Cross multiply
    842.23x = 1,161.97 × 840.94
  4. Step 4: Simplify right side
    842.23x = 977,142.04
  5. Step 5: Solve for x
    x = 977,142.04/842.23
  6. Step 6: Final answer
    x = 1,160.18

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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.