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Finding the Fourth Proportional to 512.33, 705.31 and 446.78

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Solution

The fourth proportional to 512.33, 705.31 and 446.78 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 705.31 = 446.78 : x
  2. Step 2: Convert to fraction form
    512.33/705.31 = 446.78/x
  3. Step 3: Cross multiply
    512.33x = 705.31 × 446.78
  4. Step 4: Simplify right side
    512.33x = 315,119.05
  5. Step 5: Solve for x
    x = 315,119.05/512.33
  6. Step 6: Final answer
    x = 615.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.