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Finding the Fourth Proportional to 879.35, 1,213.43 and 785.79

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Solution

The fourth proportional to 879.35, 1,213.43 and 785.79 is: 1,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.35 : 1,213.43 = 785.79 : x
  2. Step 2: Convert to fraction form
    879.35/1,213.43 = 785.79/x
  3. Step 3: Cross multiply
    879.35x = 1,213.43 × 785.79
  4. Step 4: Simplify right side
    879.35x = 953,497.23
  5. Step 5: Solve for x
    x = 953,497.23/879.35
  6. Step 6: Final answer
    x = 1,084.33

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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.