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Finding the Fourth Proportional to 678.39, 1,015.16 and 667.46

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Solution

The fourth proportional to 678.39, 1,015.16 and 667.46 is: 998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.39 : 1,015.16 = 667.46 : x
  2. Step 2: Convert to fraction form
    678.39/1,015.16 = 667.46/x
  3. Step 3: Cross multiply
    678.39x = 1,015.16 × 667.46
  4. Step 4: Simplify right side
    678.39x = 677,570.28
  5. Step 5: Solve for x
    x = 677,570.28/678.39
  6. Step 6: Final answer
    x = 998.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.