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Finding the Fourth Proportional to 604.40, 905.97 and 385.19

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Solution

The fourth proportional to 604.40, 905.97 and 385.19 is: 577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 905.97 = 385.19 : x
  2. Step 2: Convert to fraction form
    604.40/905.97 = 385.19/x
  3. Step 3: Cross multiply
    604.40x = 905.97 × 385.19
  4. Step 4: Simplify right side
    604.40x = 348,970.58
  5. Step 5: Solve for x
    x = 348,970.58/604.40
  6. Step 6: Final answer
    x = 577.38

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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.