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Finding the Fourth Proportional to 668.38, 1,001.94 and 302.80

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Solution

The fourth proportional to 668.38, 1,001.94 and 302.80 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.38 : 1,001.94 = 302.80 : x
  2. Step 2: Convert to fraction form
    668.38/1,001.94 = 302.80/x
  3. Step 3: Cross multiply
    668.38x = 1,001.94 × 302.80
  4. Step 4: Simplify right side
    668.38x = 303,387.43
  5. Step 5: Solve for x
    x = 303,387.43/668.38
  6. Step 6: Final answer
    x = 453.91

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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.