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Finding the Fourth Proportional to 777.38, 1,166.22 and 257.54

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Solution

The fourth proportional to 777.38, 1,166.22 and 257.54 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.38 : 1,166.22 = 257.54 : x
  2. Step 2: Convert to fraction form
    777.38/1,166.22 = 257.54/x
  3. Step 3: Cross multiply
    777.38x = 1,166.22 × 257.54
  4. Step 4: Simplify right side
    777.38x = 300,342.47
  5. Step 5: Solve for x
    x = 300,342.47/777.38
  6. Step 6: Final answer
    x = 386.35

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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.