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Finding the Fourth Proportional to 411.39, 613.81 and 382.35

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Solution

The fourth proportional to 411.39, 613.81 and 382.35 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 613.81 = 382.35 : x
  2. Step 2: Convert to fraction form
    411.39/613.81 = 382.35/x
  3. Step 3: Cross multiply
    411.39x = 613.81 × 382.35
  4. Step 4: Simplify right side
    411.39x = 234,689.30
  5. Step 5: Solve for x
    x = 234,689.30/411.39
  6. Step 6: Final answer
    x = 570.48

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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.