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Finding the Fourth Proportional to 411.80, 613.53 and 391.14

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Solution

The fourth proportional to 411.80, 613.53 and 391.14 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 613.53 = 391.14 : x
  2. Step 2: Convert to fraction form
    411.80/613.53 = 391.14/x
  3. Step 3: Cross multiply
    411.80x = 613.53 × 391.14
  4. Step 4: Simplify right side
    411.80x = 239,976.12
  5. Step 5: Solve for x
    x = 239,976.12/411.80
  6. Step 6: Final answer
    x = 582.76

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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.