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Finding the Fourth Proportional to 604.85, 905.52 and 512.31

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Solution

The fourth proportional to 604.85, 905.52 and 512.31 is: 766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.85 : 905.52 = 512.31 : x
  2. Step 2: Convert to fraction form
    604.85/905.52 = 512.31/x
  3. Step 3: Cross multiply
    604.85x = 905.52 × 512.31
  4. Step 4: Simplify right side
    604.85x = 463,908.87
  5. Step 5: Solve for x
    x = 463,908.87/604.85
  6. Step 6: Final answer
    x = 766.98

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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.