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Finding the Fourth Proportional to 479.82, 719.92 and 191.46

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Solution

The fourth proportional to 479.82, 719.92 and 191.46 is: 287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 719.92 = 191.46 : x
  2. Step 2: Convert to fraction form
    479.82/719.92 = 191.46/x
  3. Step 3: Cross multiply
    479.82x = 719.92 × 191.46
  4. Step 4: Simplify right side
    479.82x = 137,835.88
  5. Step 5: Solve for x
    x = 137,835.88/479.82
  6. Step 6: Final answer
    x = 287.27

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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.