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Finding the Fourth Proportional to 780.37, 1,176.27 and 769.43

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Solution

The fourth proportional to 780.37, 1,176.27 and 769.43 is: 1,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.37 : 1,176.27 = 769.43 : x
  2. Step 2: Convert to fraction form
    780.37/1,176.27 = 769.43/x
  3. Step 3: Cross multiply
    780.37x = 1,176.27 × 769.43
  4. Step 4: Simplify right side
    780.37x = 905,057.43
  5. Step 5: Solve for x
    x = 905,057.43/780.37
  6. Step 6: Final answer
    x = 1,159.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.