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Finding the Fourth Proportional to 678.14, 1,015.67 and 662.76

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Solution

The fourth proportional to 678.14, 1,015.67 and 662.76 is: 992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 1,015.67 = 662.76 : x
  2. Step 2: Convert to fraction form
    678.14/1,015.67 = 662.76/x
  3. Step 3: Cross multiply
    678.14x = 1,015.67 × 662.76
  4. Step 4: Simplify right side
    678.14x = 673,151.38
  5. Step 5: Solve for x
    x = 673,151.38/678.14
  6. Step 6: Final answer
    x = 992.64

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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.