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Finding the Fourth Proportional to 668.62, 1,003.13 and 278.80

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Solution

The fourth proportional to 668.62, 1,003.13 and 278.80 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.62 : 1,003.13 = 278.80 : x
  2. Step 2: Convert to fraction form
    668.62/1,003.13 = 278.80/x
  3. Step 3: Cross multiply
    668.62x = 1,003.13 × 278.80
  4. Step 4: Simplify right side
    668.62x = 279,673.76
  5. Step 5: Solve for x
    x = 279,673.76/668.62
  6. Step 6: Final answer
    x = 418.29

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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.