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Finding the Fourth Proportional to 709.58, 978.81 and 447.14

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Solution

The fourth proportional to 709.58, 978.81 and 447.14 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.58 : 978.81 = 447.14 : x
  2. Step 2: Convert to fraction form
    709.58/978.81 = 447.14/x
  3. Step 3: Cross multiply
    709.58x = 978.81 × 447.14
  4. Step 4: Simplify right side
    709.58x = 437,660.21
  5. Step 5: Solve for x
    x = 437,660.21/709.58
  6. Step 6: Final answer
    x = 616.79

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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.