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Finding the Fourth Proportional to 604.60, 905.73 and 372.40

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Solution

The fourth proportional to 604.60, 905.73 and 372.40 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 905.73 = 372.40 : x
  2. Step 2: Convert to fraction form
    604.60/905.73 = 372.40/x
  3. Step 3: Cross multiply
    604.60x = 905.73 × 372.40
  4. Step 4: Simplify right side
    604.60x = 337,293.85
  5. Step 5: Solve for x
    x = 337,293.85/604.60
  6. Step 6: Final answer
    x = 557.88

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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.