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Finding the Fourth Proportional to 669.13, 1,003.85 and 304.03

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Solution

The fourth proportional to 669.13, 1,003.85 and 304.03 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.13 : 1,003.85 = 304.03 : x
  2. Step 2: Convert to fraction form
    669.13/1,003.85 = 304.03/x
  3. Step 3: Cross multiply
    669.13x = 1,003.85 × 304.03
  4. Step 4: Simplify right side
    669.13x = 305,200.52
  5. Step 5: Solve for x
    x = 305,200.52/669.13
  6. Step 6: Final answer
    x = 456.12

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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.