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Finding the Fourth Proportional to 678.80, 936.78 and 512.72

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Solution

The fourth proportional to 678.80, 936.78 and 512.72 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.80 : 936.78 = 512.72 : x
  2. Step 2: Convert to fraction form
    678.80/936.78 = 512.72/x
  3. Step 3: Cross multiply
    678.80x = 936.78 × 512.72
  4. Step 4: Simplify right side
    678.80x = 480,305.84
  5. Step 5: Solve for x
    x = 480,305.84/678.80
  6. Step 6: Final answer
    x = 707.58

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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.