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Finding the Fourth Proportional to 398.57, 594.36 and 394.92

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Solution

The fourth proportional to 398.57, 594.36 and 394.92 is: 588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 594.36 = 394.92 : x
  2. Step 2: Convert to fraction form
    398.57/594.36 = 394.92/x
  3. Step 3: Cross multiply
    398.57x = 594.36 × 394.92
  4. Step 4: Simplify right side
    398.57x = 234,724.65
  5. Step 5: Solve for x
    x = 234,724.65/398.57
  6. Step 6: Final answer
    x = 588.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.