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Finding the Fourth Proportional to 441.08, 659.68 and 392.64

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Solution

The fourth proportional to 441.08, 659.68 and 392.64 is: 587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.08 : 659.68 = 392.64 : x
  2. Step 2: Convert to fraction form
    441.08/659.68 = 392.64/x
  3. Step 3: Cross multiply
    441.08x = 659.68 × 392.64
  4. Step 4: Simplify right side
    441.08x = 259,016.76
  5. Step 5: Solve for x
    x = 259,016.76/441.08
  6. Step 6: Final answer
    x = 587.23

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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.