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Finding the Fourth Proportional to 441.68, 662.63 and 434.33

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Solution

The fourth proportional to 441.68, 662.63 and 434.33 is: 651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.68 : 662.63 = 434.33 : x
  2. Step 2: Convert to fraction form
    441.68/662.63 = 434.33/x
  3. Step 3: Cross multiply
    441.68x = 662.63 × 434.33
  4. Step 4: Simplify right side
    441.68x = 287,800.82
  5. Step 5: Solve for x
    x = 287,800.82/441.68
  6. Step 6: Final answer
    x = 651.60

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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.