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Finding the Fourth Proportional to 678.52, 1,016.56 and 447.12

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Solution

The fourth proportional to 678.52, 1,016.56 and 447.12 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.52 : 1,016.56 = 447.12 : x
  2. Step 2: Convert to fraction form
    678.52/1,016.56 = 447.12/x
  3. Step 3: Cross multiply
    678.52x = 1,016.56 × 447.12
  4. Step 4: Simplify right side
    678.52x = 454,524.31
  5. Step 5: Solve for x
    x = 454,524.31/678.52
  6. Step 6: Final answer
    x = 669.88

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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.