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Finding the Fourth Proportional to 842.88, 1,163.76 and 676.92

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Solution

The fourth proportional to 842.88, 1,163.76 and 676.92 is: 934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,163.76 = 676.92 : x
  2. Step 2: Convert to fraction form
    842.88/1,163.76 = 676.92/x
  3. Step 3: Cross multiply
    842.88x = 1,163.76 × 676.92
  4. Step 4: Simplify right side
    842.88x = 787,772.42
  5. Step 5: Solve for x
    x = 787,772.42/842.88
  6. Step 6: Final answer
    x = 934.62

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1.5x scale

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.