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Finding the Fourth Proportional to 441.74, 663.70 and 435.26

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Solution

The fourth proportional to 441.74, 663.70 and 435.26 is: 653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.74 : 663.70 = 435.26 : x
  2. Step 2: Convert to fraction form
    441.74/663.70 = 435.26/x
  3. Step 3: Cross multiply
    441.74x = 663.70 × 435.26
  4. Step 4: Simplify right side
    441.74x = 288,882.06
  5. Step 5: Solve for x
    x = 288,882.06/441.74
  6. Step 6: Final answer
    x = 653.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.