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Finding the Fourth Proportional to 479.66, 720.45 and 419.42

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Solution

The fourth proportional to 479.66, 720.45 and 419.42 is: 629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.66 : 720.45 = 419.42 : x
  2. Step 2: Convert to fraction form
    479.66/720.45 = 419.42/x
  3. Step 3: Cross multiply
    479.66x = 720.45 × 419.42
  4. Step 4: Simplify right side
    479.66x = 302,171.14
  5. Step 5: Solve for x
    x = 302,171.14/479.66
  6. Step 6: Final answer
    x = 629.97

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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.