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Finding the Fourth Proportional to 441.88, 658.14 and 418.75

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Solution

The fourth proportional to 441.88, 658.14 and 418.75 is: 623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.88 : 658.14 = 418.75 : x
  2. Step 2: Convert to fraction form
    441.88/658.14 = 418.75/x
  3. Step 3: Cross multiply
    441.88x = 658.14 × 418.75
  4. Step 4: Simplify right side
    441.88x = 275,596.13
  5. Step 5: Solve for x
    x = 275,596.13/441.88
  6. Step 6: Final answer
    x = 623.69

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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.