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Finding the Fourth Proportional to 441.57, 608.07 and 431.99

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Solution

The fourth proportional to 441.57, 608.07 and 431.99 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.57 : 608.07 = 431.99 : x
  2. Step 2: Convert to fraction form
    441.57/608.07 = 431.99/x
  3. Step 3: Cross multiply
    441.57x = 608.07 × 431.99
  4. Step 4: Simplify right side
    441.57x = 262,680.16
  5. Step 5: Solve for x
    x = 262,680.16/441.57
  6. Step 6: Final answer
    x = 594.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.