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Finding the Fourth Proportional to 884.08, 1,220.14 and 709.92

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Solution

The fourth proportional to 884.08, 1,220.14 and 709.92 is: 979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.08 : 1,220.14 = 709.92 : x
  2. Step 2: Convert to fraction form
    884.08/1,220.14 = 709.92/x
  3. Step 3: Cross multiply
    884.08x = 1,220.14 × 709.92
  4. Step 4: Simplify right side
    884.08x = 866,201.79
  5. Step 5: Solve for x
    x = 866,201.79/884.08
  6. Step 6: Final answer
    x = 979.78

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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.