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Finding the Fourth Proportional to 391.67, 582.89 and 377.09

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Solution

The fourth proportional to 391.67, 582.89 and 377.09 is: 561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.67 : 582.89 = 377.09 : x
  2. Step 2: Convert to fraction form
    391.67/582.89 = 377.09/x
  3. Step 3: Cross multiply
    391.67x = 582.89 × 377.09
  4. Step 4: Simplify right side
    391.67x = 219,797.19
  5. Step 5: Solve for x
    x = 219,797.19/391.67
  6. Step 6: Final answer
    x = 561.19

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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.