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Finding the Fourth Proportional to 709.39, 978.78 and 443.86

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Solution

The fourth proportional to 709.39, 978.78 and 443.86 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.39 : 978.78 = 443.86 : x
  2. Step 2: Convert to fraction form
    709.39/978.78 = 443.86/x
  3. Step 3: Cross multiply
    709.39x = 978.78 × 443.86
  4. Step 4: Simplify right side
    709.39x = 434,441.29
  5. Step 5: Solve for x
    x = 434,441.29/709.39
  6. Step 6: Final answer
    x = 612.42

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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.