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Finding the Fourth Proportional to 847, 1,169.34 and 639.64

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Solution

The fourth proportional to 847, 1,169.34 and 639.64 is: 883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    847 : 1,169.34 = 639.64 : x
  2. Step 2: Convert to fraction form
    847/1,169.34 = 639.64/x
  3. Step 3: Cross multiply
    847x = 1,169.34 × 639.64
  4. Step 4: Simplify right side
    847x = 747,956.64
  5. Step 5: Solve for x
    x = 747,956.64/847
  6. Step 6: Final answer
    x = 883.07

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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.