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Finding the Fourth Proportional to 668.13, 1,002.55 and 326.13

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Solution

The fourth proportional to 668.13, 1,002.55 and 326.13 is: 489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.13 : 1,002.55 = 326.13 : x
  2. Step 2: Convert to fraction form
    668.13/1,002.55 = 326.13/x
  3. Step 3: Cross multiply
    668.13x = 1,002.55 × 326.13
  4. Step 4: Simplify right side
    668.13x = 326,961.63
  5. Step 5: Solve for x
    x = 326,961.63/668.13
  6. Step 6: Final answer
    x = 489.37

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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.