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Finding the Fourth Proportional to 411.76, 612.34 and 398.78

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Solution

The fourth proportional to 411.76, 612.34 and 398.78 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.76 : 612.34 = 398.78 : x
  2. Step 2: Convert to fraction form
    411.76/612.34 = 398.78/x
  3. Step 3: Cross multiply
    411.76x = 612.34 × 398.78
  4. Step 4: Simplify right side
    411.76x = 244,190.97
  5. Step 5: Solve for x
    x = 244,190.97/411.76
  6. Step 6: Final answer
    x = 593.05

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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.