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Finding the Fourth Proportional to 668.12, 1,002.31 and 257.24

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Solution

The fourth proportional to 668.12, 1,002.31 and 257.24 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.12 : 1,002.31 = 257.24 : x
  2. Step 2: Convert to fraction form
    668.12/1,002.31 = 257.24/x
  3. Step 3: Cross multiply
    668.12x = 1,002.31 × 257.24
  4. Step 4: Simplify right side
    668.12x = 257,836.09
  5. Step 5: Solve for x
    x = 257,836.09/668.12
  6. Step 6: Final answer
    x = 385.92

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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.