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Finding the Fourth Proportional to 512.49, 706.41 and 346.64

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Solution

The fourth proportional to 512.49, 706.41 and 346.64 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 706.41 = 346.64 : x
  2. Step 2: Convert to fraction form
    512.49/706.41 = 346.64/x
  3. Step 3: Cross multiply
    512.49x = 706.41 × 346.64
  4. Step 4: Simplify right side
    512.49x = 244,869.96
  5. Step 5: Solve for x
    x = 244,869.96/512.49
  6. Step 6: Final answer
    x = 477.80

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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.