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Finding the Fourth Proportional to 667.89, 1,002.14 and 257.12

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Solution

The fourth proportional to 667.89, 1,002.14 and 257.12 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.89 : 1,002.14 = 257.12 : x
  2. Step 2: Convert to fraction form
    667.89/1,002.14 = 257.12/x
  3. Step 3: Cross multiply
    667.89x = 1,002.14 × 257.12
  4. Step 4: Simplify right side
    667.89x = 257,668.66
  5. Step 5: Solve for x
    x = 257,668.66/667.89
  6. Step 6: Final answer
    x = 385.80

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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.