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Finding the Fourth Proportional to 411.20, 612.58 and 399.92

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Solution

The fourth proportional to 411.20, 612.58 and 399.92 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 612.58 = 399.92 : x
  2. Step 2: Convert to fraction form
    411.20/612.58 = 399.92/x
  3. Step 3: Cross multiply
    411.20x = 612.58 × 399.92
  4. Step 4: Simplify right side
    411.20x = 244,982.99
  5. Step 5: Solve for x
    x = 244,982.99/411.20
  6. Step 6: Final answer
    x = 595.78

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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.