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Finding the Fourth Proportional to 668.82, 1,003.23 and 257.94

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Solution

The fourth proportional to 668.82, 1,003.23 and 257.94 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.82 : 1,003.23 = 257.94 : x
  2. Step 2: Convert to fraction form
    668.82/1,003.23 = 257.94/x
  3. Step 3: Cross multiply
    668.82x = 1,003.23 × 257.94
  4. Step 4: Simplify right side
    668.82x = 258,773.15
  5. Step 5: Solve for x
    x = 258,773.15/668.82
  6. Step 6: Final answer
    x = 386.91

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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.