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Finding the Fourth Proportional to 669.35, 1,003.21 and 486.29

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Solution

The fourth proportional to 669.35, 1,003.21 and 486.29 is: 728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 1,003.21 = 486.29 : x
  2. Step 2: Convert to fraction form
    669.35/1,003.21 = 486.29/x
  3. Step 3: Cross multiply
    669.35x = 1,003.21 × 486.29
  4. Step 4: Simplify right side
    669.35x = 487,850.99
  5. Step 5: Solve for x
    x = 487,850.99/669.35
  6. Step 6: Final answer
    x = 728.84

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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.