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Finding the Fourth Proportional to 678.94, 1,016.90 and 445.02

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Solution

The fourth proportional to 678.94, 1,016.90 and 445.02 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.94 : 1,016.90 = 445.02 : x
  2. Step 2: Convert to fraction form
    678.94/1,016.90 = 445.02/x
  3. Step 3: Cross multiply
    678.94x = 1,016.90 × 445.02
  4. Step 4: Simplify right side
    678.94x = 452,540.84
  5. Step 5: Solve for x
    x = 452,540.84/678.94
  6. Step 6: Final answer
    x = 666.54

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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.