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Finding the Fourth Proportional to 411.53, 611.99 and 398.55

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Solution

The fourth proportional to 411.53, 611.99 and 398.55 is: 592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.53 : 611.99 = 398.55 : x
  2. Step 2: Convert to fraction form
    411.53/611.99 = 398.55/x
  3. Step 3: Cross multiply
    411.53x = 611.99 × 398.55
  4. Step 4: Simplify right side
    411.53x = 243,906.37
  5. Step 5: Solve for x
    x = 243,906.37/411.53
  6. Step 6: Final answer
    x = 592.69

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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.