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Finding the Fourth Proportional to 419.82, 626.54 and 391.97

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Solution

The fourth proportional to 419.82, 626.54 and 391.97 is: 584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 626.54 = 391.97 : x
  2. Step 2: Convert to fraction form
    419.82/626.54 = 391.97/x
  3. Step 3: Cross multiply
    419.82x = 626.54 × 391.97
  4. Step 4: Simplify right side
    419.82x = 245,579.79
  5. Step 5: Solve for x
    x = 245,579.79/419.82
  6. Step 6: Final answer
    x = 584.97

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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.