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Finding the Fourth Proportional to 785.35, 1,076.57 and 771.37

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Solution

The fourth proportional to 785.35, 1,076.57 and 771.37 is: 1,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.35 : 1,076.57 = 771.37 : x
  2. Step 2: Convert to fraction form
    785.35/1,076.57 = 771.37/x
  3. Step 3: Cross multiply
    785.35x = 1,076.57 × 771.37
  4. Step 4: Simplify right side
    785.35x = 830,434.03
  5. Step 5: Solve for x
    x = 830,434.03/785.35
  6. Step 6: Final answer
    x = 1,057.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.