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Finding the Fourth Proportional to 842.96, 1,159.43 and 676.82

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Solution

The fourth proportional to 842.96, 1,159.43 and 676.82 is: 930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.96 : 1,159.43 = 676.82 : x
  2. Step 2: Convert to fraction form
    842.96/1,159.43 = 676.82/x
  3. Step 3: Cross multiply
    842.96x = 1,159.43 × 676.82
  4. Step 4: Simplify right side
    842.96x = 784,721.31
  5. Step 5: Solve for x
    x = 784,721.31/842.96
  6. Step 6: Final answer
    x = 930.91

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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.