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Finding the Fourth Proportional to 847.92, 1,169.22 and 780.96

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Solution

The fourth proportional to 847.92, 1,169.22 and 780.96 is: 1,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.92 : 1,169.22 = 780.96 : x
  2. Step 2: Convert to fraction form
    847.92/1,169.22 = 780.96/x
  3. Step 3: Cross multiply
    847.92x = 1,169.22 × 780.96
  4. Step 4: Simplify right side
    847.92x = 913,114.05
  5. Step 5: Solve for x
    x = 913,114.05/847.92
  6. Step 6: Final answer
    x = 1,076.89

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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.