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Finding the Fourth Proportional to 441.99, 666.48 and 433.77

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Solution

The fourth proportional to 441.99, 666.48 and 433.77 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.99 : 666.48 = 433.77 : x
  2. Step 2: Convert to fraction form
    441.99/666.48 = 433.77/x
  3. Step 3: Cross multiply
    441.99x = 666.48 × 433.77
  4. Step 4: Simplify right side
    441.99x = 289,099.03
  5. Step 5: Solve for x
    x = 289,099.03/441.99
  6. Step 6: Final answer
    x = 654.09

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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.