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Finding the Fourth Proportional to 411.14, 613.77 and 381.14

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Solution

The fourth proportional to 411.14, 613.77 and 381.14 is: 568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 613.77 = 381.14 : x
  2. Step 2: Convert to fraction form
    411.14/613.77 = 381.14/x
  3. Step 3: Cross multiply
    411.14x = 613.77 × 381.14
  4. Step 4: Simplify right side
    411.14x = 233,930.39
  5. Step 5: Solve for x
    x = 233,930.39/411.14
  6. Step 6: Final answer
    x = 568.98

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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.