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Finding the Fourth Proportional to 604.71, 905.90 and 343.91

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Solution

The fourth proportional to 604.71, 905.90 and 343.91 is: 515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 905.90 = 343.91 : x
  2. Step 2: Convert to fraction form
    604.71/905.90 = 343.91/x
  3. Step 3: Cross multiply
    604.71x = 905.90 × 343.91
  4. Step 4: Simplify right side
    604.71x = 311,548.61
  5. Step 5: Solve for x
    x = 311,548.61/604.71
  6. Step 6: Final answer
    x = 515.20

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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.