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Finding the Fourth Proportional to 678.70, 936.69 and 512.65

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Solution

The fourth proportional to 678.70, 936.69 and 512.65 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.70 : 936.69 = 512.65 : x
  2. Step 2: Convert to fraction form
    678.70/936.69 = 512.65/x
  3. Step 3: Cross multiply
    678.70x = 936.69 × 512.65
  4. Step 4: Simplify right side
    678.70x = 480,194.13
  5. Step 5: Solve for x
    x = 480,194.13/678.70
  6. Step 6: Final answer
    x = 707.52

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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.