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Finding the Fourth Proportional to 708.97, 978.40 and 394.24

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Solution

The fourth proportional to 708.97, 978.40 and 394.24 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.97 : 978.40 = 394.24 : x
  2. Step 2: Convert to fraction form
    708.97/978.40 = 394.24/x
  3. Step 3: Cross multiply
    708.97x = 978.40 × 394.24
  4. Step 4: Simplify right side
    708.97x = 385,724.42
  5. Step 5: Solve for x
    x = 385,724.42/708.97
  6. Step 6: Final answer
    x = 544.06

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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.