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Finding the Fourth Proportional to 668.69, 1,003.26 and 395.01

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Solution

The fourth proportional to 668.69, 1,003.26 and 395.01 is: 592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.69 : 1,003.26 = 395.01 : x
  2. Step 2: Convert to fraction form
    668.69/1,003.26 = 395.01/x
  3. Step 3: Cross multiply
    668.69x = 1,003.26 × 395.01
  4. Step 4: Simplify right side
    668.69x = 396,297.73
  5. Step 5: Solve for x
    x = 396,297.73/668.69
  6. Step 6: Final answer
    x = 592.65

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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.