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Finding the Fourth Proportional to 479.26, 659.28 and 419.98

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Solution

The fourth proportional to 479.26, 659.28 and 419.98 is: 577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.26 : 659.28 = 419.98 : x
  2. Step 2: Convert to fraction form
    479.26/659.28 = 419.98/x
  3. Step 3: Cross multiply
    479.26x = 659.28 × 419.98
  4. Step 4: Simplify right side
    479.26x = 276,884.41
  5. Step 5: Solve for x
    x = 276,884.41/479.26
  6. Step 6: Final answer
    x = 577.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.