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Finding the Fourth Proportional to 668.09, 1,002.12 and 302.78

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Solution

The fourth proportional to 668.09, 1,002.12 and 302.78 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.09 : 1,002.12 = 302.78 : x
  2. Step 2: Convert to fraction form
    668.09/1,002.12 = 302.78/x
  3. Step 3: Cross multiply
    668.09x = 1,002.12 × 302.78
  4. Step 4: Simplify right side
    668.09x = 303,416.88
  5. Step 5: Solve for x
    x = 303,416.88/668.09
  6. Step 6: Final answer
    x = 454.16

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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.