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Finding the Fourth Proportional to 441.05, 657.42 and 433.76

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Solution

The fourth proportional to 441.05, 657.42 and 433.76 is: 646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.05 : 657.42 = 433.76 : x
  2. Step 2: Convert to fraction form
    441.05/657.42 = 433.76/x
  3. Step 3: Cross multiply
    441.05x = 657.42 × 433.76
  4. Step 4: Simplify right side
    441.05x = 285,157.59
  5. Step 5: Solve for x
    x = 285,157.59/441.05
  6. Step 6: Final answer
    x = 646.55

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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.