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Finding the Fourth Proportional to 512.46, 706.88 and 315.92

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Solution

The fourth proportional to 512.46, 706.88 and 315.92 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 706.88 = 315.92 : x
  2. Step 2: Convert to fraction form
    512.46/706.88 = 315.92/x
  3. Step 3: Cross multiply
    512.46x = 706.88 × 315.92
  4. Step 4: Simplify right side
    512.46x = 223,320.09
  5. Step 5: Solve for x
    x = 223,320.09/512.46
  6. Step 6: Final answer
    x = 435.78

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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.