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Finding the Fourth Proportional to 668.28, 1,002.60 and 257.46

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Solution

The fourth proportional to 668.28, 1,002.60 and 257.46 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.28 : 1,002.60 = 257.46 : x
  2. Step 2: Convert to fraction form
    668.28/1,002.60 = 257.46/x
  3. Step 3: Cross multiply
    668.28x = 1,002.60 × 257.46
  4. Step 4: Simplify right side
    668.28x = 258,129.40
  5. Step 5: Solve for x
    x = 258,129.40/668.28
  6. Step 6: Final answer
    x = 386.26

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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.