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Finding the Fourth Proportional to 512.64, 706.78 and 346.48

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Solution

The fourth proportional to 512.64, 706.78 and 346.48 is: 477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 706.78 = 346.48 : x
  2. Step 2: Convert to fraction form
    512.64/706.78 = 346.48/x
  3. Step 3: Cross multiply
    512.64x = 706.78 × 346.48
  4. Step 4: Simplify right side
    512.64x = 244,885.13
  5. Step 5: Solve for x
    x = 244,885.13/512.64
  6. Step 6: Final answer
    x = 477.69

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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.