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Finding the Fourth Proportional to 411, 613.22 and 381.96

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Solution

The fourth proportional to 411, 613.22 and 381.96 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 613.22 = 381.96 : x
  2. Step 2: Convert to fraction form
    411/613.22 = 381.96/x
  3. Step 3: Cross multiply
    411x = 613.22 × 381.96
  4. Step 4: Simplify right side
    411x = 234,225.51
  5. Step 5: Solve for x
    x = 234,225.51/411
  6. Step 6: Final answer
    x = 569.89

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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.