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Finding the Fourth Proportional to 668.99, 1,002.84 and 252.41

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Solution

The fourth proportional to 668.99, 1,002.84 and 252.41 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.99 : 1,002.84 = 252.41 : x
  2. Step 2: Convert to fraction form
    668.99/1,002.84 = 252.41/x
  3. Step 3: Cross multiply
    668.99x = 1,002.84 × 252.41
  4. Step 4: Simplify right side
    668.99x = 253,121.83
  5. Step 5: Solve for x
    x = 253,121.83/668.99
  6. Step 6: Final answer
    x = 378.37

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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.