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Finding the Fourth Proportional to 433.80, 653.83 and 414.28

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Solution

The fourth proportional to 433.80, 653.83 and 414.28 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 653.83 = 414.28 : x
  2. Step 2: Convert to fraction form
    433.80/653.83 = 414.28/x
  3. Step 3: Cross multiply
    433.80x = 653.83 × 414.28
  4. Step 4: Simplify right side
    433.80x = 270,868.69
  5. Step 5: Solve for x
    x = 270,868.69/433.80
  6. Step 6: Final answer
    x = 624.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.