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Finding the Fourth Proportional to 708.97, 978.28 and 394.22

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Solution

The fourth proportional to 708.97, 978.28 and 394.22 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.97 : 978.28 = 394.22 : x
  2. Step 2: Convert to fraction form
    708.97/978.28 = 394.22/x
  3. Step 3: Cross multiply
    708.97x = 978.28 × 394.22
  4. Step 4: Simplify right side
    708.97x = 385,653.50
  5. Step 5: Solve for x
    x = 385,653.50/708.97
  6. Step 6: Final answer
    x = 543.96

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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.