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Finding the Fourth Proportional to 512.40, 706.38 and 315.78

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Solution

The fourth proportional to 512.40, 706.38 and 315.78 is: 435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 706.38 = 315.78 : x
  2. Step 2: Convert to fraction form
    512.40/706.38 = 315.78/x
  3. Step 3: Cross multiply
    512.40x = 706.38 × 315.78
  4. Step 4: Simplify right side
    512.40x = 223,060.68
  5. Step 5: Solve for x
    x = 223,060.68/512.40
  6. Step 6: Final answer
    x = 435.33

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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.