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Finding the Fourth Proportional to 512.98, 707.88 and 478.12

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Solution

The fourth proportional to 512.98, 707.88 and 478.12 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 707.88 = 478.12 : x
  2. Step 2: Convert to fraction form
    512.98/707.88 = 478.12/x
  3. Step 3: Cross multiply
    512.98x = 707.88 × 478.12
  4. Step 4: Simplify right side
    512.98x = 338,451.59
  5. Step 5: Solve for x
    x = 338,451.59/512.98
  6. Step 6: Final answer
    x = 659.78

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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.