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Finding the Fourth Proportional to 668.24, 1,002.49 and 257.57

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Solution

The fourth proportional to 668.24, 1,002.49 and 257.57 is: 386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.24 : 1,002.49 = 257.57 : x
  2. Step 2: Convert to fraction form
    668.24/1,002.49 = 257.57/x
  3. Step 3: Cross multiply
    668.24x = 1,002.49 × 257.57
  4. Step 4: Simplify right side
    668.24x = 258,205.69
  5. Step 5: Solve for x
    x = 258,205.69/668.24
  6. Step 6: Final answer
    x = 386.40

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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.