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Finding the Fourth Proportional to 678.19, 936.21 and 512.46

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Solution

The fourth proportional to 678.19, 936.21 and 512.46 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.19 : 936.21 = 512.46 : x
  2. Step 2: Convert to fraction form
    678.19/936.21 = 512.46/x
  3. Step 3: Cross multiply
    678.19x = 936.21 × 512.46
  4. Step 4: Simplify right side
    678.19x = 479,769.22
  5. Step 5: Solve for x
    x = 479,769.22/678.19
  6. Step 6: Final answer
    x = 707.43

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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.