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Finding the Fourth Proportional to 441.56, 659.09 and 389.66

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Solution

The fourth proportional to 441.56, 659.09 and 389.66 is: 581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 659.09 = 389.66 : x
  2. Step 2: Convert to fraction form
    441.56/659.09 = 389.66/x
  3. Step 3: Cross multiply
    441.56x = 659.09 × 389.66
  4. Step 4: Simplify right side
    441.56x = 256,815.77
  5. Step 5: Solve for x
    x = 256,815.77/441.56
  6. Step 6: Final answer
    x = 581.62

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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.