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Finding the Fourth Proportional to 512.57, 705.56 and 446.96

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Solution

The fourth proportional to 512.57, 705.56 and 446.96 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.57 : 705.56 = 446.96 : x
  2. Step 2: Convert to fraction form
    512.57/705.56 = 446.96/x
  3. Step 3: Cross multiply
    512.57x = 705.56 × 446.96
  4. Step 4: Simplify right side
    512.57x = 315,355.17
  5. Step 5: Solve for x
    x = 315,355.17/512.57
  6. Step 6: Final answer
    x = 615.25

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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.