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Finding the Fourth Proportional to 604.26, 904.65 and 450.90

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Solution

The fourth proportional to 604.26, 904.65 and 450.90 is: 675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.26 : 904.65 = 450.90 : x
  2. Step 2: Convert to fraction form
    604.26/904.65 = 450.90/x
  3. Step 3: Cross multiply
    604.26x = 904.65 × 450.90
  4. Step 4: Simplify right side
    604.26x = 407,906.69
  5. Step 5: Solve for x
    x = 407,906.69/604.26
  6. Step 6: Final answer
    x = 675.05

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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.