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Finding the Fourth Proportional to 441.68, 658.71 and 377.09

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Solution

The fourth proportional to 441.68, 658.71 and 377.09 is: 562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.68 : 658.71 = 377.09 : x
  2. Step 2: Convert to fraction form
    441.68/658.71 = 377.09/x
  3. Step 3: Cross multiply
    441.68x = 658.71 × 377.09
  4. Step 4: Simplify right side
    441.68x = 248,391.07
  5. Step 5: Solve for x
    x = 248,391.07/441.68
  6. Step 6: Final answer
    x = 562.38

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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.