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Finding the Fourth Proportional to 604.56, 904.06 and 450.59

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Solution

The fourth proportional to 604.56, 904.06 and 450.59 is: 673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 904.06 = 450.59 : x
  2. Step 2: Convert to fraction form
    604.56/904.06 = 450.59/x
  3. Step 3: Cross multiply
    604.56x = 904.06 × 450.59
  4. Step 4: Simplify right side
    604.56x = 407,360.40
  5. Step 5: Solve for x
    x = 407,360.40/604.56
  6. Step 6: Final answer
    x = 673.81

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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.