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Finding the Fourth Proportional to 609.71, 912.50 and 512.31

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Solution

The fourth proportional to 609.71, 912.50 and 512.31 is: 766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.71 : 912.50 = 512.31 : x
  2. Step 2: Convert to fraction form
    609.71/912.50 = 512.31/x
  3. Step 3: Cross multiply
    609.71x = 912.50 × 512.31
  4. Step 4: Simplify right side
    609.71x = 467,480.31
  5. Step 5: Solve for x
    x = 467,480.31/609.71
  6. Step 6: Final answer
    x = 766.73

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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.