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Finding the Fourth Proportional to 777.37, 1,165.94 and 257.73

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Solution

The fourth proportional to 777.37, 1,165.94 and 257.73 is: 386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.37 : 1,165.94 = 257.73 : x
  2. Step 2: Convert to fraction form
    777.37/1,165.94 = 257.73/x
  3. Step 3: Cross multiply
    777.37x = 1,165.94 × 257.73
  4. Step 4: Simplify right side
    777.37x = 300,493.02
  5. Step 5: Solve for x
    x = 300,493.02/777.37
  6. Step 6: Final answer
    x = 386.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.