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Finding the Fourth Proportional to 604.96, 905.66 and 459.28

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Solution

The fourth proportional to 604.96, 905.66 and 459.28 is: 687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.96 : 905.66 = 459.28 : x
  2. Step 2: Convert to fraction form
    604.96/905.66 = 459.28/x
  3. Step 3: Cross multiply
    604.96x = 905.66 × 459.28
  4. Step 4: Simplify right side
    604.96x = 415,951.52
  5. Step 5: Solve for x
    x = 415,951.52/604.96
  6. Step 6: Final answer
    x = 687.57

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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.