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Finding the Fourth Proportional to 439.17, 659.44 and 419.69

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Solution

The fourth proportional to 439.17, 659.44 and 419.69 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.17 : 659.44 = 419.69 : x
  2. Step 2: Convert to fraction form
    439.17/659.44 = 419.69/x
  3. Step 3: Cross multiply
    439.17x = 659.44 × 419.69
  4. Step 4: Simplify right side
    439.17x = 276,760.97
  5. Step 5: Solve for x
    x = 276,760.97/439.17
  6. Step 6: Final answer
    x = 630.19

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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.