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Finding the Fourth Proportional to 441.92, 659.64 and 390.03

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Solution

The fourth proportional to 441.92, 659.64 and 390.03 is: 582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 659.64 = 390.03 : x
  2. Step 2: Convert to fraction form
    441.92/659.64 = 390.03/x
  3. Step 3: Cross multiply
    441.92x = 659.64 × 390.03
  4. Step 4: Simplify right side
    441.92x = 257,282.09
  5. Step 5: Solve for x
    x = 257,282.09/441.92
  6. Step 6: Final answer
    x = 582.19

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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.