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Finding the Fourth Proportional to 777.35, 1,171.84 and 725.79

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Solution

The fourth proportional to 777.35, 1,171.84 and 725.79 is: 1,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.35 : 1,171.84 = 725.79 : x
  2. Step 2: Convert to fraction form
    777.35/1,171.84 = 725.79/x
  3. Step 3: Cross multiply
    777.35x = 1,171.84 × 725.79
  4. Step 4: Simplify right side
    777.35x = 850,505.85
  5. Step 5: Solve for x
    x = 850,505.85/777.35
  6. Step 6: Final answer
    x = 1,094.11

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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.