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Finding the Fourth Proportional to 669.67, 1,003.12 and 425.05

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Solution

The fourth proportional to 669.67, 1,003.12 and 425.05 is: 636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.67 : 1,003.12 = 425.05 : x
  2. Step 2: Convert to fraction form
    669.67/1,003.12 = 425.05/x
  3. Step 3: Cross multiply
    669.67x = 1,003.12 × 425.05
  4. Step 4: Simplify right side
    669.67x = 426,372.59
  5. Step 5: Solve for x
    x = 426,372.59/669.67
  6. Step 6: Final answer
    x = 636.69

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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.