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Finding the Fourth Proportional to 669.45, 1,004.42 and 304.01

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Solution

The fourth proportional to 669.45, 1,004.42 and 304.01 is: 456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.45 : 1,004.42 = 304.01 : x
  2. Step 2: Convert to fraction form
    669.45/1,004.42 = 304.01/x
  3. Step 3: Cross multiply
    669.45x = 1,004.42 × 304.01
  4. Step 4: Simplify right side
    669.45x = 305,353.72
  5. Step 5: Solve for x
    x = 305,353.72/669.45
  6. Step 6: Final answer
    x = 456.13

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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.