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Finding the Fourth Proportional to 668.41, 1,002.62 and 257.47

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Solution

The fourth proportional to 668.41, 1,002.62 and 257.47 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.41 : 1,002.62 = 257.47 : x
  2. Step 2: Convert to fraction form
    668.41/1,002.62 = 257.47/x
  3. Step 3: Cross multiply
    668.41x = 1,002.62 × 257.47
  4. Step 4: Simplify right side
    668.41x = 258,143.28
  5. Step 5: Solve for x
    x = 258,143.28/668.41
  6. Step 6: Final answer
    x = 386.21

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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.